Question

Use a difference of squares to factor the polynomial. 16x^2-100 this factors into:(Answer - Answer)(Answer+Answer)

Answer 1

The difference of squares is given by:

$x^2-y^2=(x-y)(x+y)$

For:

$16x^2-100$

Let:

$\begin{gathered} a=4x \\ b=10 \\ so\colon \\ a^2=16x^2 \\ b^2=100 \\ a^2-b^2=(a-b)(a+b) \\ 16x^2-100=(4x-10)(4x+10) \end{gathered}$