Solve (8p^3+10)^2

$$( 8 p ^ { 3 } + 10 ) ^ { 2 }$$

Evaluate

$$4\left(4p^{3}+5\right)^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(8p^{3}+10\right)^{2}.

$$64\left(p^{3}\right)^{2}+160p^{3}+100$$

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

$$64p^{6}+160p^{3}+100$$

Expand

$$64p^{6}+160p^{3}+100$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(8p^{3}+10\right)^{2}.

$$64\left(p^{3}\right)^{2}+160p^{3}+100$$

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

$$64p^{6}+160p^{3}+100$$