Question

Simplify: $\left(x^2-5\right)\left(x+5\right)+25$

Answer 1

Simplify the expression:

Consider $\left(x^2-5\right)\left(x+5\right)+25$

$$\begin{gathered} x^2\left(x+5\right)-5\left(x+5\right)+25 \\ {x}^3+5x^2-5x-\left(5\times 5\right)+25 \\ {x}^3+5x^2-5x-25+25 \\ {x}^3+5x^2-5x \end{gathered}$$

Hence, $\left(x^2-5\right)\left(x+5\right)\mathbf{+}\mathbf{25}$ is ${\mathbf{x}}^{\mathbf{3}}\mathbf{+}\mathbf{5}{\mathbf{x}}^{\mathbf{2}}\mathbf{-}\mathbf{5}\mathbf{x}$