Solve a(a + b) + b(a + b) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$a(a+b)+b(a+b)$$

Evaluate

$\left(a+b\right)^{2}$

Solution Steps

Use the distributive property to multiply $a$ by $a+b$.

$$a^{2}+ab+b\left(a+b\right)$$

Use the distributive property to multiply $b$ by $a+b$.

$$a^{2}+ab+ba+b^{2}$$

Combine $ab$ and $ba$ to get $2ab$.

$$a^{2}+2ab+b^{2}$$

Expand

$a^{2}+2ab+b^{2}$

Solution Steps

Use the distributive property to multiply $a$ by $a+b$.

$$a^{2}+ab+b\left(a+b\right)$$

Use the distributive property to multiply $b$ by $a+b$.

$$a^{2}+ab+ba+b^{2}$$

Combine $ab$ and $ba$ to get $2ab$.

$$a^{2}+2ab+b^{2}$$