Question

evaluate 1332x³-729x³ by using suitable algebraic identity​

Answer 1

We've to evaluate 1331x³ - 729x³ by using suitable algebraic identity.

W.K.T.

1331 = 11³

729 = 9³

=> 1331x³ - 729x³ = (11x)³ - (9x)³

W.K.T.

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

Here,

x = 11x

y = 9x

=> ( 11x - 9x ) ( 121x² + 99x² + 81x² )

=> ( 2x ) ( 301x² )

=> 602x³ = 1331x³ - 729x³.

HENCE PROOVED.

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