Question

factorise 8x cube + b cube +12a square* b + 6ab square

Answer 1

Hi ,
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We know the algebraic identity

x³ + y³ + 3x²y + 3xy² = ( x + y )³

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Now ,

8a³ + b³ + 12a²b + 6ab²

= ( 2a )³ + b³ + 3 × ( 2a )² b + 3×(2a)b²

= ( 2a + b )³

= ( 2a + b )( 2a + b )( 2a + b )

( 2a + b ) , ( 2a + b ) , ( 2a + b ) are

factors.

I hope this helps you.

:)

Answer 2

HELLO



8x³ + b³ + 12a²b + 6ab²

= ( 2x )³ + ( b)³ + 3.2x².b + 3.2x.b

= ( 2x + b )³

= ( 2x + b ) ( 2x + b ) ( 2x + b )

note: used ( a + b )³ = a³ + 3a²b + 3ab² + b³ formula

thanks you