Solve 3*a^{2}+(frac{2*a^{2}}{a})^2-4*(a^2)^3/a^4=

$$3 \cdot a ^ { 2 } + ( \frac { 2 \cdot a ^ { 2 } } { a } ) ^ { 2 } - \frac { 4 \cdot ( a ^ { 2 } ) ^ { 3 } } { a ^ { 4 } } =$$

Evaluate

$$3a^{2}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$3a^{2}+\left(\frac{2a^{2}}{a}\right)^{2}-\frac{4a^{6}}{a^{4}}$$

Cancel out a in both numerator and denominator.

$$3a^{2}+\left(2a\right)^{2}-\frac{4a^{6}}{a^{4}}$$

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

$$3a^{2}+2^{2}a^{2}-\frac{4a^{6}}{a^{4}}$$

Calculate 2 to the power of 2 and get 4.

$$3a^{2}+4a^{2}-\frac{4a^{6}}{a^{4}}$$

Combine 3a^{2} and 4a^{2} to get 7a^{2}.

$$7a^{2}-\frac{4a^{6}}{a^{4}}$$

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

$$7a^{2}-4a^{2}$$

Combine 7a^{2} and -4a^{2} to get 3a^{2}.

$$3a^{2}$$

Expand

$$3a^{2}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$3a^{2}+\left(\frac{2a^{2}}{a}\right)^{2}-\frac{4a^{6}}{a^{4}}$$

Cancel out a in both numerator and denominator.

$$3a^{2}+\left(2a\right)^{2}-\frac{4a^{6}}{a^{4}}$$

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

$$3a^{2}+2^{2}a^{2}-\frac{4a^{6}}{a^{4}}$$

Calculate 2 to the power of 2 and get 4.

$$3a^{2}+4a^{2}-\frac{4a^{6}}{a^{4}}$$

Combine 3a^{2} and 4a^{2} to get 7a^{2}.

$$7a^{2}-\frac{4a^{6}}{a^{4}}$$

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

$$7a^{2}-4a^{2}$$

Combine 7a^{2} and -4a^{2} to get 3a^{2}.

$$3a^{2}$$