Solve 2a(2a + b) - b(2a + 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

$$2a(2a+b)-b(2a+b)$$

Evaluate

$4a^{2}-b^{2}$

Solution Steps

Use the distributive property to multiply $2a$ by $2a+b$.

$$4a^{2}+2ab-b\left(2a+b\right)$$

Use the distributive property to multiply $b$ by $2a+b$.

$$4a^{2}+2ab-\left(2ba+b^{2}\right)$$

To find the opposite of $2ba+b^{2}$, find the opposite of each term.

$$4a^{2}+2ab-2ba-b^{2}$$

Combine $2ab$ and $-2ba$ to get $0$.

$$4a^{2}-b^{2}$$

Expand

$4a^{2}-b^{2}$

Solution Steps

Use the distributive property to multiply $2a$ by $2a+b$.

$$4a^{2}+2ab-b\left(2a+b\right)$$

Use the distributive property to multiply $b$ by $2a+b$.

$$4a^{2}+2ab-\left(2ba+b^{2}\right)$$

To find the opposite of $2ba+b^{2}$, find the opposite of each term.

$$4a^{2}+2ab-2ba-b^{2}$$

Combine $2ab$ and $-2ba$ to get $0$.

$$4a^{2}-b^{2}$$