Question

Find the product of $(t+2)(t+4)$ using appropriate identity.

Answer 1

Lets use the identity $(x+a)(x+b)=x^2+(a+b)x+b^2$

Here $a=2,b=4$

The value of $(t+2)(t+4)$ is

$=t^2+(2+4)t+2\left(4\right)$

$=t^2+6t+8$