Solve 4a^4-(a+3)^2

$$4 a ^ { 4 } - ( a + 3 ) ^ { 2 }$$

Evaluate

$$4a^{4}-a^{2}-6a-9$$

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+3\right)^{2}.

$$4a^{4}-\left(a^{2}+6a+9\right)$$

To find the opposite of a^{2}+6a+9, find the opposite of each term.

$$4a^{4}-a^{2}-6a-9$$

Expand

$$4a^{4}-a^{2}-6a-9$$

Solution Steps

Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+3\right)^{2}.

$$4a^{4}-\left(a^{2}+6a+9\right)$$

To find the opposite of a^{2}+6a+9, find the opposite of each term.

$$4a^{4}-a^{2}-6a-9$$