Solve (7e-3f^2)^2

$$( 7 e - 3 f ^ { 2 } ) ^ { 2 }$$

Expand

$$9f^{4}-42ef^{2}+49e^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7e-3f^{2}\right)^{2}.

$$49e^{2}-42ef^{2}+9\left(f^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$49e^{2}-42ef^{2}+9f^{4}$$

Evaluate

$$\left(7e-3f^{2}\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(7e-3f^{2}\right)^{2}.

$$49e^{2}-42ef^{2}+9\left(f^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$49e^{2}-42ef^{2}+9f^{4}$$