Question

(5x^5-y)^2 binomials to power

Answer 1

The expansion of the expression gives;

`=25x^(10)-10x^5y+y^2`

Expansion:

Given the expression:

`(5x^5-y)^2`

We want to expand;

`\begin{gathered} (5x^5-y)^2 \\ =(5x^5-y)(5x^5-y) \\ =5x^5(5x^5-y)-y(5x^5-y) \\ =5x^5(5x^5)+5x^5(-y)-y(5x^5)-y(-y) \\ =25x^(10)-5x^5y-5x^5y+y^2 \\ =25x^(10)-10x^5y+y^2 \end{gathered}`

Therefore, the expansion of the expression gives;

`=25x^(10)-10x^5y+y^2`