Solve (5y^3+1)^2=

$$( 5 y ^ { 3 } + 1 ) ^ { 2 } =$$

Evaluate

$$\left(5y^{3}+1\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5y^{3}+1\right)^{2}.

$$25\left(y^{3}\right)^{2}+10y^{3}+1$$

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

$$25y^{6}+10y^{3}+1$$

Expand

$$25y^{6}+10y^{3}+1$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5y^{3}+1\right)^{2}.

$$25\left(y^{3}\right)^{2}+10y^{3}+1$$

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

$$25y^{6}+10y^{3}+1$$