Maharashtra State BoardSSC (English Medium) 8th Standard
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Simplify. (2x + 3y)3 - (2x - 3y)3 - Mathematics

Sum

Simplify.

(2x + 3y)3 - (2x - 3y)3

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Solution

(2x + 3y)3 - (2x - 3y)3

= [(2x)3 + 3(2x)2(3y) + 3(2x)(3y)2 + (3y)3 ] - [(2x)3 - 3(2x)2(3y) + 3(2x)(3y)2 - (3y)3]

= (8x3 + 36x2y + 54xy2 + 27y3) - (8x3 - 36x2y + 54xy2 - 27y3)

= 8x3 +36x2y + 54xy2 + 27y3 - 8x3 + 36x2y - 54xy2 + 27y3

= 72x2y + 54y3

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