Question

simplify
(x+y+z)²-(x-y-z)²​

Answer 1

$\huge {\colorbox {black}{\color{lime}{༆ ᴀɴswᴇ༉}}}$

Using Identity, a² - b² = (a + b)(a - b)

$\longrightarrow {(x + y + z)² - (x - y - z)²}$

$\longrightarrow {(x + y + z + x - y - z)(x + y + z - x + y + z)}$

$\longrightarrow {(2x)(2y + 2z)}$

$\longrightarrow {\boxed {4xy + 4xz}}$