Question

Make x the subject a(x-a)=a^2

Answer 1

x = 2a

Explanation:

a(x - a) = a² ( divide both sides by a )

x - a = a ( add a to both sides )

x = 2a

Answer 2

x = 2a

Explanation:

Given equation

`\sf a(x-a)=a^2`

Make x the subject

expand brackets:

`\sf \implies ax-a^2=a^2`

Add
`\sf a^2` to both sides:

`\sf \implies ax-a^2+a^2=a^2+a^2`

`\sf \implies ax=2a^2`

Divide both sides by a:

`\sf \implies (ax)/(a)=(2a^2)/(a)`

`\sf \implies x=2a`

Final solution

`\sf x=2a`