Question

Factorise 125-27x³
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Answer 1

Step-by-step explanation:

QUESTION;

Factorise 125 - 27x³

ACCORDING TO FORMULA,

( a³ - b³) = ( a - b) ³ +3ab ( a -b)

SOLUTION IF QUESTION ;

125 - 27X³

= ( 5)³ - ( 3X)³

= ( 5 - 3x)³ + 3× 5× 3x ( 5 - 3x)

= ( 5 - 3x)³ + 45x ( 5 - 3x)

= (5) ³ - 3× 5² × 3x + 3× 5×(3x)² - ( 3x)³ + 45x( 5 - 3x)

= 125 - 225x + 135x² - 27x³ + 225x - 135x²

answer

ADDITIONAL :

( a³ - b³)= ( a - b) ( a² + ab + b²)

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