Question

Which statement is true?
a. The square of a binomial is also a binomial
b. The product of a sum and difference of two terms is a binomial.
c. The product of a binomial and a trinomial is the square of a trinomial.
d. The terms of the cube of a binomial are all positive

Answer 1

D IS TRUE

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Answer 2

D. The terms of the cube of a binomial are all positive are true.

Explanation :

• When you factor a trinomial, you get the square of a binomial.

• The difference of two squares is always the product of the sum and difference of the same two terms; it is equal to the first term squared minus the second term squared.

• A difference of squares is the name given to the generated binomial.

• A product of a binomial and a trinomial is a different sort of polynomial multiplication problem. Each term in the binomial must be multiplied by each term in the trinomial, according to the distributive property.