Solve (a+b)^2+4(a-b)

$$( a + b ) ^ { 2 } + 4 ( a - b )$$

Evaluate

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

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.

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

Use the distributive property to multiply 4 by a-b.

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

Expand

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

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.

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

Use the distributive property to multiply 4 by a-b.

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