Question

$factorize ( x2 - 2x)2 - 23(x2 - 2x) + 120$
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Answer 1

Answer:

(x²-2x)²-23(x²-2x)+120

(x²-2x)²-15(x²-2x)-8(x²-2x)+120

(x²-2x){(x²-2x)-15}-8{(x²-2x)-15}

(x²-2x-15)(x²-2x-8)

(x²-5x+3x-15)(x²-4x+2x-8)

{x(x-5)+3(x-5)}{x(x-4)+2(x-4)}

(x-5)(x+3)(x-4)(x+2)

(x-5)(x-4)(x+3)(x+2)

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