Solve (a-4b)^2+5(a-4b)

$$( a - 4 b ) ^ { 2 } + 5 ( a - 4 b )$$

Evaluate

$$\left(a-4b\right)\left(a-4b+5\right)$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-4b\right)^{2}.

$$a^{2}-8ab+16b^{2}+5\left(a-4b\right)$$

Use the distributive property to multiply 5 by a-4b.

$$a^{2}-8ab+16b^{2}+5a-20b$$

Expand

$$a^{2}-8ab+5a+16b^{2}-20b$$

Solution Steps

Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a-4b\right)^{2}.

$$a^{2}-8ab+16b^{2}+5\left(a-4b\right)$$

Use the distributive property to multiply 5 by a-4b.

$$a^{2}-8ab+16b^{2}+5a-20b$$