Question

Expand the following (2x^2 -3y)^3​

Answer 1

Answer:

(2^2-3y)^3

(2^2+3-3y^3)

2^5-3y^3

32-27y

Answer 2

(2x²-3y)³

[by using the algebraic identities (a-b)³=a³-b³-3ab(a-b)

here, a=2x², b=3y]

=(2x²)³-(3y)³-3(2x²)(3y)(2x²-3y)

=8x⁶-27y³-18x²y(2x²-3y)

=8x⁶-27y³-36x⁴y+54x²y²