Question

Use a suitable identity to get each of the following products.

$\left(x+3\right)\left(x+3\right)$

Answer 1

Solving $\left(x+3\right)\left(x+3\right)={\left(x+3\right)}^2$

Now using, ${\left(a+b\right)}^2=a^2+b^2+2ab$

$$\begin{gathered} {\left(x+3\right)}^2=x^2+3^2+2\times x\times 3 \\ {\left(x+3\right)}^2=x^2+3^2+6x \end{gathered}$$

Hence, the value of $\left(x+3\right)\left(x+3\right)=x^2+3^2+6x$