Question

if $c = x^2 + 8x + 3$ and $b = x - 8$, find an expression that equals $3c + b$ in standard form.

Explanation:

Step1: Substitute C into 3C

$3C = 3(x^2 + 8x + 3)$

Step2: Expand 3C

$3C = 3x^2 + 24x + 9$

Step3: Add B to 3C

$3C + B = (3x^2 + 24x + 9) + (x - 8)$

Step4: Combine like terms

$3C + B = 3x^2 + (24x + x) + (9 - 8)$
$3C + B = 3x^2 + 25x + 1$

Answer:

$3x^2 + 25x + 1$