Question

factorise the polynomial 8x^3-(2x-y)^3

Answer 1

Answer:

Step-by-step explanation:

8x³ - (2x-y)³

(2x)³-(2x-y)³

[2x -(2x - y)] [(2x)² + (2x - y)² + (2x)(2x - y)]

y[4x² + 4x² + y² -4xy + 4x² - 2xy]

y[12x² + y² - 6xy]

Answer 2

Step-by-step explanation:

(a+b)

3

=a

3

+b

3

+3ab(a+b)

by using this ;

8x

3

−(2x−y)

3

=(2x)

3

+(y−2x)

3

=(2x+y−2x)

3

−3(2x(y−2x))(2x+y−2x)

=y

3

−6xy(y−2x)=y(y

2

−6x(y−2x))