Question

factorise 189x^3-64y^3-216x^2y​

Answer 1

189x³ - 64y³ - 216x²y  =  (3x - 4y) ( 63x² + 16y²  + 12xy)

Step-by-step explanation:

189x³ - 64y³ - 216x²y

162x³ + 27x³ - 64y³ - 216x²y

=  27x³ - 64y³ + 162x³  - 216x²y

= (3x)³ - (4y)³ + 54x²(3x - 4y)

= (3x - 4y) ( 9x² + 16y²  + 12xy)  + 54x²(3x - 4y)

=  (3x - 4y) ( 9x² + 16y²  + 12xy + 54x²)

=  (3x - 4y) ( 63x² + 16y²  + 12xy)

189x³ - 64y³ - 216x²y  =  (3x - 4y) ( 63x² + 16y²  + 12xy)

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