Solve 3(a-2b)+(a-2b)^2

$$3 ( a - 2 b ) + ( a - 2 b ) ^ { 2 }$$

Evaluate

$$\left(a-2b\right)\left(a-2b+3\right)$$

Solution Steps

Use the distributive property to multiply 3 by a-2b.

$$3a-6b+\left(a-2b\right)^{2}$$

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

$$3a-6b+a^{2}-4ab+4b^{2}$$

Expand

$$a^{2}-4ab+3a+4b^{2}-6b$$

Solution Steps

Use the distributive property to multiply 3 by a-2b.

$$3a-6b+\left(a-2b\right)^{2}$$

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

$$3a-6b+a^{2}-4ab+4b^{2}$$