8x3-y3-12x2y-6xy2 by any method-

Hi! Here is the answer to your question. nbsp; 8x3 + y3 + 12x2y + 6xy2 nbsp;=8x3 nbsp; + 12x2y + 6xy2 nbsp; + y3 nbsp;= (2x)3 + 3 times; (2x)2 ...

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Byju's Answer

Standard IX

Mathematics

(x±a)(x±b) = x²±(a+b)x+ab.

8x3+y3+12x2y+...

Question

8x³+y³+12x²y+6xy² by any method?

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Solution

Hi!

Here is the answer to your question.

8x³ + y³ + 12x²y + 6xy²

=8x³ + 12x²y + 6xy² + y³

= (2x)³+ 3 × (2x)² × y + 3 × 2x × (y)² + (y)³

= (2x + y)³ [ (a + b)³ = a³ + 3a²b + 3ab² + b²]

Cheers!

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Q. 8x³ + y³ + 12x²y + 6xy²

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8x3+y3+12x2y+6xy2 by any method?

Hi! Here is the answer to your question. 8x3 + y3 + 12x2y + 6xy2 =8x3 + 12x2y + 6xy2 + y3 = (2x)3 + 3 × (2x)2 × y + 3 × 2x × (y)2 + (y)3 = (2x + y)3 [ (a + b)3 = a3 + 3a2b + 3ab2 + b2] Cheers!

8x³+y³+12x²y+6xy² by any method?

Hi!

Here is the answer to your question.

8x³ + y³ + 12x²y + 6xy²

=8x³ + 12x²y + 6xy² + y³

= (2x)³+ 3 × (2x)² × y + 3 × 2x × (y)² + (y)³

= (2x + y)³ [ (a + b)³ = a³ + 3a²b + 3ab² + b²]

Cheers!