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

1.	Factorise a^4x + a^3 (2x-y) -a(2ay + z) - 2z
Answer» 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)

Answer»

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)

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

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