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Algebraic Identities

11. Factorise...

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11. Factorise: 12[(x2+7x)2]-8(x2+7x)(2x-1)-15[(2x-1)2]

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12 (x^{2} + 7 x)^{2} - 8 (x^{2} + 7 x) (2 x - 1) - 15 (2 x - 1)^{2}

Factorise: 1) x⁴- 14x² + 1

2) (x²- 2x)²- 23(x²- 2x) +120

Q. Find if polynomial

x^{4} - 3 x^{3} + 7 x^{2} - 8 x + 12

is exactly divisible by

x^{2} - 2 x + 2

.

x^{2} - \frac{13}{24} x - \frac{1}{12}

Factorise:

$x^{2} + \frac{12}{35} x + \frac{1}{35}$

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