Question

Use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3​

Answer 1

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8

Explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms