The correct option is B (x+5)(x^2 5x+25) x^3 + 125 =x^3 + (5)^3 , #160; (Using the formula a^3 + b^3 = (a + b)(a^2 ab + b^2) ) =(x+ ...

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Algebraic Identities

Factorise x...

Question

Factorise $x^{3} + 125$

(x - 5) (x^{2} - 5 x + 35)

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(x + 5) (x^{2} - 5 x + 25)

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(x + 5) (x^{2} - x + 15)

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(x + 5) (x^{2} - x + 25)

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Solution

The correct option is B $(x + 5) (x^{2} - 5 x + 25)$
$x^{3} + 125$
$= x^{3} + (5)^{3}$ , (Using the formula $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ )
$= (x + 5) (x^{2} - 5 \times x + 5^{2})$
$= (x + 5) (x^{2} - 5 x + 25)$

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