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412 = (40 + 1)2 = 402 + 2*40*1 + 12 = 1600 + 80 + 1 = 1681

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The square of the first term of a binomial minus twice the product of the two terms plus the square of the last term is known as which formula?

Given the algebraic expression (3m - 2)2, use the square of a difference formula to determine the middle term of its product.


What product do you obtain when you square a binomial?

When you square a binomial, you obtain a trinomial. The product is calculated using the formula ((a + b)^2 = a^2 + 2ab + b^2), where (a) and (b) are the terms of the binomial. This results in the first term squared, twice the product of the two terms, and the second term squared. The process is the same for a binomial in the form ((a - b)^2), yielding (a^2 - 2ab + b^2).


The product of the sum and difference of the same two terms is equal to what?

For me, it is equal to the square of the first terms minus the square of the second terms...:-)For example . . .(9x + 5) (9x - 5)= (9x)2 - (5)2= 81x2 - 25The former answer was this:"it is equal to the square of the first term minus the square of the second term"If we answer in that way, the solution is this:(9x + 5) - (9x -5)= (9x + 5)2 - (9x - 5)2= (81x2 + 25) - (81x2 + 25)= 81x2 + 25 - 81X2 - 25= 0Let us use the DCMC or Dalope's Coefficient Method of Checking: (Checking the answer using only the coefficients)= (9 + 5) - (9 - 5)= (14) - (4)= 10Our answer to the problem (9x + 5) (9x - 5) using the "it is equal to the square of the first term minus the square of the second term" is 0 but the DCMC answer is 10. There is conflict with the answer!But if we answer in this way: "it is equal to the square of the first terms minus the square of the second terms" the answer would be 81x2 - 25 and it's answer in DCMC is 56. Let me prove it:(9 + 5) (9 - 5) (9 + 5) ( 9 - 5)= (14) (4) or = 81(9 x 9) - 25(5 x -5)= 56 = 56Conclusion: The only mistake in the former answer (it is equal to the square of the first term minus the square of the second term) is HIS SOLUTION TO HIS GIVEN EXAMPLE IS CORRECT BUT HIS ANSWER TO THE QUESTION "The product of the sum and difference of the same two terms is equal to what?" IS WRONG OR HE MISSED ONLY TO MAKE THE WORD "TERM" PLURAL!:-) I hope that my answer will correct your understanding about the above question guys!!!Jilverex Rainrex_rain@rocketmail.com


Is it possible to have two terms in the product when any binomial is square?

No, it is not.


What is a compound term in math?

In mathematics, a compound term refers to an expression that consists of two or more simpler terms combined using arithmetic operations such as addition, subtraction, multiplication, or division. For example, (3x + 5y) is a compound term made up of two individual terms, (3x) and (5y). These terms can include variables, constants, and coefficients, representing a more complex mathematical relationship. Compound terms are often used in algebra to simplify and solve equations.

Related Questions

The square of the first term of a binomial minus twice the product of the two terms plus the square of the last term is known as which formula?

Given the algebraic expression (3m - 2)2, use the square of a difference formula to determine the middle term of its product.


This is the product of two equal terms?

Square


Can you rationalize the denominator using conjugates even when the denominator contains two radical terms?

Yes. For example, the conjugate of (square root of 2 + square root of 3) is (square root of 2 - square root of 3).


How many times can a governor be elected in Alaska?

Four years with a two consecutive term limit.


The product of the sum and difference of the same two terms is equal to what?

For me, it is equal to the square of the first terms minus the square of the second terms...:-)For example . . .(9x + 5) (9x - 5)= (9x)2 - (5)2= 81x2 - 25The former answer was this:"it is equal to the square of the first term minus the square of the second term"If we answer in that way, the solution is this:(9x + 5) - (9x -5)= (9x + 5)2 - (9x - 5)2= (81x2 + 25) - (81x2 + 25)= 81x2 + 25 - 81X2 - 25= 0Let us use the DCMC or Dalope's Coefficient Method of Checking: (Checking the answer using only the coefficients)= (9 + 5) - (9 - 5)= (14) - (4)= 10Our answer to the problem (9x + 5) (9x - 5) using the "it is equal to the square of the first term minus the square of the second term" is 0 but the DCMC answer is 10. There is conflict with the answer!But if we answer in this way: "it is equal to the square of the first terms minus the square of the second terms" the answer would be 81x2 - 25 and it's answer in DCMC is 56. Let me prove it:(9 + 5) (9 - 5) (9 + 5) ( 9 - 5)= (14) (4) or = 81(9 x 9) - 25(5 x -5)= 56 = 56Conclusion: The only mistake in the former answer (it is equal to the square of the first term minus the square of the second term) is HIS SOLUTION TO HIS GIVEN EXAMPLE IS CORRECT BUT HIS ANSWER TO THE QUESTION "The product of the sum and difference of the same two terms is equal to what?" IS WRONG OR HE MISSED ONLY TO MAKE THE WORD "TERM" PLURAL!:-) I hope that my answer will correct your understanding about the above question guys!!!Jilverex Rainrex_rain@rocketmail.com


How long is a president term and how terms can you serve?

One term as President is four years, with a limit of two terms.


The two outer terms of a proportion?

The two outer terms of a proportion are the first term on the left-hand side and the last term on the right-hand side. These terms are usually compared to determine if they are in the same relationship as the two inner terms.


How many terms can the president get and how long is a term?

Two terms only, terms are four years each.


What is term called when the president serves two terms but not back to back?

Grover Cleveland


Is it possible to have two terms in the product when any binomial is square?

No, it is not.


What is a compound term in math?

In mathematics, a compound term refers to an expression that consists of two or more simpler terms combined using arithmetic operations such as addition, subtraction, multiplication, or division. For example, (3x + 5y) is a compound term made up of two individual terms, (3x) and (5y). These terms can include variables, constants, and coefficients, representing a more complex mathematical relationship. Compound terms are often used in algebra to simplify and solve equations.


Can a US president be elected as President after serving two terms as President?

No, the term limit for a president is two terms.