Question

Write the following expression in the form ax²+bx+c, where a, b, and c are real number constants. (x+6)(x+5)+(x+6)(x-2)

Answer 1

The given expression is

$\left(x+6\right)\left(x+5\right)+\left(x+6\right)\left(x-2\right)​$

First, we use the distributive property

$x^2+5x+6x+30+x^2-2x+6x-12$

Now, we reduce like terms, so the quadratic expression is

$2x^2+15x+18$

Where a = 2, b = 15, and c = 18.

The image below shows the process for the distributive property