Solve =1/4(3)^2(3+1)^2

$$= \frac { 1 } { 4 } ( 3 ) ^ { 2 } ( 3 + 1 ) ^ { 2 }$$

Evaluate

$$36$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{1}{4}\times 9\left(3+1\right)^{2}$$

Multiply \frac{1}{4} and 9 to get \frac{9}{4}.

$$\frac{9}{4}\left(3+1\right)^{2}$$

Add 3 and 1 to get 4.

$$\frac{9}{4}\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{9}{4}\times 16$$

Multiply \frac{9}{4} and 16 to get 36.

$$36$$

Factor

$$2^{2}\times 3^{2}$$