Question

Find the value of the expression (9x² + 24x + 16), when x = 12.

Answer 1

$$\begin{gathered} \left(9x^2+24x+16\right) \\ Given,x=12 \\ \Rightarrow {\left(3x\right)}^2+2\left(3x\right)\left(4\right)+{\left(4\right)}^2 \\ \Rightarrow {\left(3x+4\right)}^2 \\ \Rightarrow {\left(3\left(12\right)+4\right)}^2 \\ \Rightarrow {\left(36+4\right)}^2 \\ \Rightarrow {\left(40\right)}^2=1600 \end{gathered}$$

Therefore, the value of the expression (9x² + 24x + 16), when x = 12, is 1600.