Question

ax^3 + a^2 (x-y) -ax (y+z) -z
Factorize

Answer 1

Answer:

Step-by-step explanation:do it like this

(3a + 2y)³

(3a)³ + (2y)³ + 18ay(3a+2y)

27a³ + 8y³ + 18ay ( 3a + 2y)

Answer 2

$\Large{\underline{\underline{\bf{Solution:-}}}}$

$we \: have \: \\ \\ a {x}^{3} + {a}^{2} (x - y) - a(y + z) - z \\ \\ = {a}^{3} x + {a}^{2} x - {a}^{2} y - ay - az - z \\ \\ = ( {a}^{3} x + {a}^{2} x) - ( {a}^{2} y + ay) - (az + z) \\ \\ = {a}^{2} x(a + 1) - ay(a + 1) - z(a + 1) \\ \\ = (a + 1)( {a}^{2} x - ay - z)$

$\Large{\underline{\underline{\bf{Thanks}}}}$