Question

Using the Identities, simplify the following

$(x+2)(x+3)$

Answer 1

Step 1 : We need to identify the identity first, the question is in the form of $(x+a)(x+b)$ which is equal to $x^2+(a+b)x+ab$

so if we compare the question with the identity we get $a=2andb=3$

Step 2 : Applying the formula

$$\begin{gathered} (x+2)(x+3)=x^2+(2+3)x+2\times 3 \\ =x^2+5x+6 \end{gathered}$$

Hence the solution is $x^2+5x+6$