Study guides

Q: The product of the sum and difference of two terms is equal to the what of the squares of the terms?

Write your answer...

Submit

Related questions

coefficient

Perfect

7 terms

wala

Square

First determine if both of the terms are squares. You can determine numerical squares by taking the square root. If the answer is a whole number, it's a square. All even numbered exponents are squares. If the sign between them indicates subtraction, you have a "difference of squares."

perfect * * * * * Not strictly. they could both be multiples of sqaures. For example, factorise 3x3 - 48x. Neither term is a square but they do become squares when the common factor, 3x, is separated out. Also, when rationalising surds, one would use the difference of two squares but (at least) one of the terms is not a square.

All terms have even powers, factorable to the form (a+b)(a-b)

the different of two perfect squares can be formed by taking any two perfect squared terms

An expression is a statement of terms and has no equal sign. An equation is a statement of two terms that equal each other.

To write equal ratios multiply both terms by the same number or divided both terms. For example, 2/ 9 is a ratio equal ratio will be 4/18. There is no difference between equal ratios and equivalent ratios.

There are no two factors that equal 13. In simpler terms, you can not multiply two numbers that equal 13.

It is not possible to answer in terms of a grid that cannot be seen, but a normal grid of 2 squares x 2 squares will have 5 squares.

There are several things you can do to simplify expressions. Specifically for expressions with several terms, two things you can do is to combine similar terms (terms that have the same combination of variables), and then (usually after combining), see if you can apply one of the common methods of factoring, such as looking for common factors, looking for a perfect cube, factoring the difference of squares, the sum or difference of cubes, etc.

If the two terms are not separated by a minus sign it wouldn't be a difference.a2 - b2 factorises easily into (a - b)(a + b).a2 + b2 does not factorise.

The word "difference" implies subtraction. The word "squares" implies a perfect square term or number. To recognize the "difference of squares" look for 2 perfect square terms, one being subtracted from the other. Ex. x2 - 16. "x" is being squared and 16 is a perfect square. They are being subtracted. Factors: (x+4)(x-4)

Two things can be different but still be equal. If they're the same, then they're automatically equal (speaking in terms of meanings of words only).

The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.

I will assume you mean 7x + 5. In general, a binomial (two terms) can ONLY be factored if both terms have a common factor, OR you have a difference of squares. No other cases are possible, since the product of two binomials is, in general, a trinomial (three terms). Since none of these special cases apply, the expression can't be factored.

The factorial of a number is the product of all the whole numbers, except zero, that are less than or equal to that number.

depends on the number of terms and the exponents of the variables in the termsAlways try GCF first.2 terms with a variable squared try difference of squares2 terms with variable cubed try difference of cubes3 terms (trinomial of 2nd order) try different trinomial techniques.4 or more terms try grouping terms.you may have to use more than one of the above .... 1st GCF then look to see if what is grouped in now one of the other types, such as difference of squares.EX. 2x3 - 50x

Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)

Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)

Two companies that use the product concept today are Sony in terms of their Playstation product and Samsung in terms of their Samsung Galaxy smartphone/ product

A difference of two squared terms, i.e.:a2 - b2This form can be factored into (a + b)(a - b).

People also asked