Solve (5-A^3)^2

$$( 5 - A ^ { 3 } ) ^ { 2 }$$

Expand

$$A^{6}-10A^{3}+25$$

Solution Steps

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

$$25-10A^{3}+\left(A^{3}\right)^{2}$$

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

$$25-10A^{3}+A^{6}$$

Evaluate

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

Solution Steps

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

$$25-10A^{3}+\left(A^{3}\right)^{2}$$

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

$$25-10A^{3}+A^{6}$$