Question

(x+y+z)^2-(x-y-z)^2 pls help
just substract

Answer 1

${(x + y + z)}^{2} - (x - (y + z)) {}^{2} \\ \\ = 4x(y + z) \\ \\ = 4xy + 4xz \\ \\ \\ \\ formulae \\ \\ {(x + y)}^{2} - (x - y) {}^{2} = 4xy \\ \\ \\ \boxed{ \mathfrak{hope \: it \: helps}}$

Answer 2

Answer:

apply the formula

{a}^{2} - {b}^{2}  =  (a + b)(a - b)

a=x+y+z

b=x-y-z

therefore...,

=(x+y+z+[x-y-z])(x+y+z-[x-y-z])

=(2x)(2y+2z)

=4xy+4x