Solve (6+7z^4)(6+7z^4)

$$( 6 + 7 z ^ { 4 } ) ( 6 + 7 z ^ { 4 } )$$

Evaluate

$$\left(7z^{4}+6\right)^{2}$$

Solution Steps

Multiply 6+7z^{4} and 6+7z^{4} to get \left(6+7z^{4}\right)^{2}.

$$\left(6+7z^{4}\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6+7z^{4}\right)^{2}.

$$36+84z^{4}+49\left(z^{4}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$36+84z^{4}+49z^{8}$$

Expand

$$49z^{8}+84z^{4}+36$$

Solution Steps

Multiply 6+7z^{4} and 6+7z^{4} to get \left(6+7z^{4}\right)^{2}.

$$\left(6+7z^{4}\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(6+7z^{4}\right)^{2}.

$$36+84z^{4}+49\left(z^{4}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$36+84z^{4}+49z^{8}$$