Question

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

Answer 1

Answer:

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;

$=25x^{10}-10x^5y+y^2$