Solve (-3+5c^3)^2=

$$( - 3 + 5 c ^ { 3 } ) ^ { 2 } =$$

Evaluate

$$\left(5c^{3}-3\right)^{2}$$

Solution Steps

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

$$9-30c^{3}+25\left(c^{3}\right)^{2}$$

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

$$9-30c^{3}+25c^{6}$$

Expand

$$25c^{6}-30c^{3}+9$$

Solution Steps

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

$$9-30c^{3}+25\left(c^{3}\right)^{2}$$

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

$$9-30c^{3}+25c^{6}$$