Solve 25a^2*(a+3)^2

$$25 a ^ { 2 } \cdot ( a + 3 ) ^ { 2 }$$

Evaluate

$$25\left(a\left(a+3\right)\right)^{2}$$

Solution Steps

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

$$25a^{2}\left(a^{2}+6a+9\right)$$

Use the distributive property to multiply 25a^{2} by a^{2}+6a+9.

$$25a^{4}+150a^{3}+225a^{2}$$

Expand

$$25a^{4}+150a^{3}+225a^{2}$$

Solution Steps

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

$$25a^{2}\left(a^{2}+6a+9\right)$$

Use the distributive property to multiply 25a^{2} by a^{2}+6a+9.

$$25a^{4}+150a^{3}+225a^{2}$$