Question

factorise a^4x + a^3 (2x-y) -a(2ay + z) - 2z​

Answer 1

Answer:

(a+2)(a³x-a²y-z)

Step-by-step explanation:

$a^{4}x$+a³(2x-y)-a(2ay+z)-2z

$a^{4}x$+2a³x-a³y-2a²y-az-2z

$a^{4}x$-a³y+2a³x-2a²y-az-2z

a³(ax-y)+2a²(ax-y)-z(a+2)

(ax-y)(a³+2a²)-z(a+2)

a²(ax-y)(a+2)-z(a+2){Taking a common from (a³+2a²)}

(a+2)[a²(ax-y)-z]

(a+2)(a³x-a²y-z)