Factorise x-13x-32x-20-

Factorise the given expression:The given expression isx³ + 13x² + 32x + 200ex0ex= x³+ x² + 12x² + 12x + 20x + 200ex0ex= x² (x + 1) + 12x (x + 1) + 20 (x + 1)0ex ...

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Standard IX

Mathematics

Identity (x+y)(x-y)

Factorise x³+...

Question

Factorise $x ³ + 13 x ² + 32 x + 20$ .

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Solution

Factorise the given expression:
The given expression is
$x ³ + 13 x ² + 32 x + 20 = x ³ + x ² + 12 x ² + 12 x + 20 x + 20 = x ² (x + 1) + 12 x (x + 1) + 20 (x + 1) = (x + 1) (x ² + 12 x + 20) = (x + 1) (x ² + 10 x + 2 x + 20) = (x + 1) [x (x + 10) + 2 (x + 10)] = (x + 1) (x + 2) (x + 10)$
Hence, the answer is $(x + 1) (x + 2) (x + 10)$

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Factorise x³+13x²+32x+20.

Factorise the given expression:The given expression isx³+13x²+32x+20=x³+x²+12x²+12x+20x+20=x²(x+1)+12x(x+1)+20(x+1)=(x+1)(x²+12x+20)=(x+1)(x²+10x+2x+20)=(x+1)[x(x+10)+2(x+10)]=(x+1)(x+2)(x+10)Hence, the answer is x+1x+2x+10

Factorise $x ³ + 13 x ² + 32 x + 20$ .