Question

Factorise: x ³ + 2 x ² y − 4 x y ² − 8 y ³

Answer 1

Answer:

x²(x+2y)-4y²(x+2y)=(x+2y)(

x²-4y²)

Answer 2

Answer:

(x+2y)²(x-2y)

Step-by-step explanation:

dividing whole eq-n by y³, and taking x÷y = a

we will get,

a³+2a²-4a-8

by HIT and TRAIL,  a=2

then, we will divide above eq-n with (a-2)

we will get, ( a²+ 4a + 4 ) = (a+2)²

now we know, a³+2a²-4a-8 = (a+2)²(a-2).

you can multiply y³in the eq-n as we have divided the eq-n by y³ earlier.

HOPE you understand

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