Factorise: $x^{3} y^{3} - 7^{3}$

a. (xy-7)( $x^{2} y^{2} + 7 x y + 49$ )
b. (xy-7)( $x^{2} y^{2} - 7 x y + 49$ )
c. (xy+7)( $x^{2} y^{2} + 7 x y + 49$ )
d. (xy+7)( $x^{2} y^{2} - 7 x y + 49$ )
$[1]$

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Solution

use the identity: $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ $x^{3} y^{3} - 7^{3} = (x y - 7) (x^{2} y^{2} + 7 x y + 49)$
Correct Option: a
$[1]$

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