Solve (5+6y^4)^2

$$( 5 + 6 y ^ { 4 } ) ^ { 2 }$$

Evaluate

$$\left(6y^{4}+5\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+6y^{4}\right)^{2}.

$$25+60y^{4}+36\left(y^{4}\right)^{2}$$

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

$$25+60y^{4}+36y^{8}$$

Expand

$$36y^{8}+60y^{4}+25$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+6y^{4}\right)^{2}.

$$25+60y^{4}+36\left(y^{4}\right)^{2}$$

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

$$25+60y^{4}+36y^{8}$$