Solve left(xx^2-5right)^2

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

Evaluate

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

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

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

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

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

Expand

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

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

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

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

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

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