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chubhunter [2.5K]
3 years ago
15

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

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

x = \frac{a(a + b)}{a-b}

Step-by-step explanation:

Step 1: Write out formula

a(x - b) = a² + bx

Step 2: Distribute

ax - ab = a² + bx

Step 3: Add <em>ab</em> to both sides

ax = a² + bx + ab

Step 4: Subtract <em>bx</em> on both sides

ax - bx = a² + ab

Step 5: Factor

x(a - b) = a² + ab

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

x = \frac{a^{2} + ab}{a-b}

Step 7: Factor

x = \frac{a(a + b)}{a-b}

And we have our final answer!

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