Factorize : 12(x²+7x)²-8(x²+7x)(2x-1)-15(2x-1)² CBSE IX

Question

Factorize :
12(x²+7x)²-8(x²+7x)(2x-1)-15(2x-1)²

CBSE IX

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Sadie 4 weeks 2021-10-01T22:17:55+00:00 1 Answer 0 views 0

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    2021-10-01T22:19:49+00:00

    Answer:

    Given Equation is 12(x^2 + 7x)^2 – 8(x^2 + 7x)(2x – 1) – 15(2x – 1)^2

    = > 12(x^4 + 49x^2 + 14x^3) – 8(2x^3 + 13x^2 – 7x) – 15(4x^2 + 1 – 4x)

    = > 12x^4 + 588x^2 + 168x^3 – 16x^3 – 104x^2 + 56x – 60x^2 + 60x – 15

    = > 12x^4 + 152x^3 + 424x^2 + 116x – 15

    = > 12x^4 + 104x^3 + 48x^3 – 10x^2 + 416x^2 + 18x^2  – 40x + 156x – 15

    = > 2x^2(6x^2 + 52x – 5) + 8x(6x^2 + 52x – 5) + 3(6x^2 + 52x – 5)

    = > (2x^2 + 8x + 3)(6x^2 + 52x – 5).

    Step-by-step explanation:

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