Question

Make x the subject of the formula a(x-b)=a^2+bx

Answer 1

x =
`(a(a + b))/(a-b)`

Explanation:

Step 1: Write out formula

a(x - b) = a² + bx

Step 2: Distribute

ax - ab = a² + bx

Step 3: Add ab to both sides

ax = a² + bx + ab

Step 4: Subtract bx on both sides

ax - bx = a² + ab

Step 5: Factor

x(a - b) = a² + ab

Step 6: Divide (a - b) on both sides

x =
`(a^(2) + ab)/(a-b)`

Step 7: Factor

x =
`(a(a + b))/(a-b)`

And we have our final answer!