Solve 4(3x)^2/(2x)^2?

$$\frac { 4 ( 3 x ) ^ { 2 } } { ( 2 x ) ^ { 2 } } ?$$

Evaluate

$$9$$

Solution Steps

Expand \left(3x\right)^{2}.

$$\frac{4\times 3^{2}x^{2}}{\left(2x\right)^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{4\times 9x^{2}}{\left(2x\right)^{2}}$$

Multiply 4 and 9 to get 36.

$$\frac{36x^{2}}{\left(2x\right)^{2}}$$

Expand \left(2x\right)^{2}.

$$\frac{36x^{2}}{2^{2}x^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{36x^{2}}{4x^{2}}$$

Cancel out 4x^{2} in both numerator and denominator.

$$9$$

Factor

$$3^{2}$$