Solve (7+9y^4)^2

$$( 7 + 9 y ^ { 4 } ) ^ { 2 }$$

Evaluate

$$\left(9y^{4}+7\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(7+9y^{4}\right)^{2}.

$$49+126y^{4}+81\left(y^{4}\right)^{2}$$

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

$$49+126y^{4}+81y^{8}$$

Expand

$$81y^{8}+126y^{4}+49$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(7+9y^{4}\right)^{2}.

$$49+126y^{4}+81\left(y^{4}\right)^{2}$$

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

$$49+126y^{4}+81y^{8}$$