Math, asked by simplify, 1 year ago

7x^3+8y^3-(4x+ 3y)(16x^-12xy+9y^2)

Answers

Answered by DhanyaDA
109
hi friend!!!

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Given expression 7x³+8y³-(4x+3y)(16x²-12xy+9y²)--------(1)

now, we know that (a+b)(a²+b²-ab)=a³+b³

(4x+3y)(16x²-12xy+9y²)=(4x)³+(3y)³=64x³+27y³

substitute this value in (1),we get

→7x³+8y³-64x³-27y³

=-57x³-19y³
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I hope this will help u ;)
Answered by saritagoyal6801
24

Answer:

Step-by-step explanation:

Given expression 7x³+8y³-(4x+3y)(16x²-12xy+9y²)--------(1)

now, we know that (a+b)(a²+b²-ab)=a³+b³

(4x+3y)(16x²-12xy+9y²)=(4x)³+(3y)³=64x³+27y³

substitute this value in (1),we get

7x³+8y³-64x³-27y³

-57x³-19y³

Hope it helps

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