No, it is not.
> square the 1st term >twice the product of the first and last term >square the last term
no
A perfect square trinomial results from squaring a binomial. Specifically, when a binomial of the form ( (a + b) ) or ( (a - b) ) is squared, it expands to ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. Both forms yield a trinomial where the first and last terms are perfect squares, and the middle term is twice the product of the binomial’s terms.
Multiply each term of the binomial by the monomial. Be particularly careful with signs: (+ times +) or (- times -) equals plus or Like signs = + (+ times -) or (- times +) equals minus or Unlike signs = -
No, it is not.
> square the 1st term >twice the product of the first and last term >square the last term
no
A perfect square trinomial results from squaring a binomial. Specifically, when a binomial of the form ( (a + b) ) or ( (a - b) ) is squared, it expands to ( a^2 + 2ab + b^2 ) or ( a^2 - 2ab + b^2 ), respectively. Both forms yield a trinomial where the first and last terms are perfect squares, and the middle term is twice the product of the binomial’s terms.
Multiply each term of the binomial by the monomial. Be particularly careful with signs: (+ times +) or (- times -) equals plus or Like signs = + (+ times -) or (- times +) equals minus or Unlike signs = -
It depends on the product of sum of what.
Given the algebraic expression (3m - 2)2, use the square of a difference formula to determine the middle term of its product.
A quartic.
It can be factored as the SQUARE OF A BINOMIAL
A binomial square refers to the square of a binomial expression, typically written as ((a + b)^2) or ((a - b)^2). It expands according to the formula: ((a + b)^2 = a^2 + 2ab + b^2) and ((a - b)^2 = a^2 - 2ab + b^2). The expansion combines the squares of the individual terms and includes a middle term that is twice the product of the two terms. This concept is fundamental in algebra and is often used in polynomial factoring and simplification.
To find the product of a monomial by a binomial, you can use the distributive property. Multiply the monomial by each term in the binomial separately. For example, if you have a monomial (a) and a binomial (b + c), you would calculate (a \cdot b + a \cdot c). This method ensures that each term in the binomial is accounted for in the final expression.
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