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Popular >

simplify b(a+b)-a(a-b)

Solution

simplify

b (a + b) - a (a - b)

Solution

b^{2} + 2 ba - a^{2}

Solution steps

b (a + b) - a (a - b)

Expand

b (a + b) : ba + b^{2}

= ba + b^{2} - a (a - b)

Expand

- a (a - b) : - a^{2} + ba

= ba + b^{2} - a^{2} + ba

Group like terms

= b^{2} + ba + ba - a^{2}

Add similar elements:

ba + ba = 2 ba

= b^{2} + 2 ba - a^{2}

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Frequently Asked Questions (FAQ)

What is b(a+b)-a(a-b) ?
The solution to b(a+b)-a(a-b) is b^2+2ba-a^2