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Simplify (5a+3b)³ -(5a-3b)³

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Simplify (5a+3b)³ -(5a-3b)³

Posted by Tanmay Lende 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

(5a+3b)³ - (5a-3b)³

= (5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³- [(5a)³-3*(5a)²*3b+3*5a*(3b)²-(3b)³]
=(5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³-(5a)³+3*(5a)²*3b-3*5a*(3b)²+(3b)³
=2*3*(5a)²*3b+2*(3b)³
=450a²b+54b³

6Thank You

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