Question

simplify the following (4x+p-c) square -(4x-p+c)square

Answer 1

$(4x+p-c)^2-(4x-p+c)^2$

$= (4x+p-c)(4x+p-c)-(4x-p+c)(4x-p+c)$

$= [c^2-2cp-8cx+p^2+8px+16x^2]-[c^2-2cp+8cx+p^2-8px+16x^2]$

$= c^2-2cp-8cx+p^2+8px+16x^2-c^2+2cp-8cx-p^2+8px-16x^2$

Now combine like terms.

$= 16px-16cx$

Hence final answer is 16px-16cx.