Factorise $x^{6} - y^{6}$ .

(x + y) (x - y) (x^{2} - x y + y^{2}) (x^{2} + x y + y^{2})

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(x + y) (x - y) (x^{2} - x y + y^{2}) (x^{2} - x y - y^{2})

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(x + y) (x - y) (x^{2} + x y + y^{2}) (x^{2} - x y - y^{2})

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(x + y) (x - y) (x^{2} + x y + y^{2}) (x^{2} + x y + y^{2})

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Solution

The correct option is C $(x + y) (x - y) (x^{2} - x y + y^{2}) (x^{2} + x y + y^{2})$
$x^{6} - y^{6} = (x^{3} + y^{3}) (x^{3} - y^{3}) = (x + y) (x^{2} - x y + y^{2}) (x - y) (x^{2} + x y + y^{2})$
$a^{2} - b^{2} = (a + b) (a - b)$
$a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

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Similar questions

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(i) x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2}) (i i) x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(x + y) (x^{2} - x y + y^{2})

(x - y) (x^{2} + x y + y^{2})

(x + y) (x^{2} - x y + y^{2})

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