Question

What is (1/2x-5)^2 simplified?

Answer 1

`(x^2)/(4)-(10x)/(2)+25`

Solution:

Given expression is
`((1)/(2)x-5)^2`.

Simplify the expression using algebraic formula
`(a-b)^2=a^2-2ab+b^2`

`((1)/(2)x-5)^2=((x)/(2)-5)^2`

`=((x)/(2))^2-2((x)/(2))5+5^2`

`=(x^2)/(4)-10((x)/(2))+25`

`=(x^2)/(4)-(10x)/(2)+25`

`((1)/(2)x-5)^2=(x^2)/(4)-(10x)/(2)+25`.

Hence, the simplified form of
`((1)/(2)x-5)^2` is
`(x^2)/(4)-(10x)/(2)+25`.