Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
