Solve 3(x+a)^2+2(x+a)

$$3 ( x + a ) ^ { 2 } + 2 ( x + a )$$

Evaluate

$$\left(x+a\right)\left(3x+3a+2\right)$$

Solution Steps

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

$$3\left(x^{2}+2xa+a^{2}\right)+2\left(x+a\right)$$

Use the distributive property to multiply 3 by x^{2}+2xa+a^{2}.

$$3x^{2}+6xa+3a^{2}+2\left(x+a\right)$$

Use the distributive property to multiply 2 by x+a.

$$3x^{2}+6xa+3a^{2}+2x+2a$$

Expand

$$3x^{2}+6ax+2x+3a^{2}+2a$$

Solution Steps

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

$$3\left(x^{2}+2xa+a^{2}\right)+2\left(x+a\right)$$

Use the distributive property to multiply 3 by x^{2}+2xa+a^{2}.

$$3x^{2}+6xa+3a^{2}+2\left(x+a\right)$$

Use the distributive property to multiply 2 by x+a.

$$3x^{2}+6xa+3a^{2}+2x+2a$$