Question

(x2 + 2x)2 - 11(x2 + 2x) + 24 = 0 factorize it​

Answer 1

LET X2-2X= a

(a)2-11(a) +24

a2 – 11a +24

by splitting the middle term

a2-8a-3a + 24

a(a-8) -3(a-8)

(a-3)(a-8)

substitute a

(x2-2x-3) (x2-2x-8)

splitting the middle term

(x2-3x+x-3) (x2-4x+2x-8)

x(x-3) + 1(x-3) * x(x-4) + 2(x-4)

(x+1)(x-3)(x+2)(x-4)

I think it's help you.

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