Question

Simplify the following expression and justify each step in your simplification.

Answer 1

Workings
$5(7 - x) + 6x(3x + 4) \\ = 35 - 5x + 18 {x}^{2} + 24x \\ = 18 {x}^{2} + 19 + 35$

Answer 2

Answer:

$18x^2+19x+35$

Step-by-step explanation:

We have been given an expression $5(7-x)+6x(3x+4)$. We are asked to simplify our given expression.

We will use distributive property $a(b+c)=ab+ac$ to solve our given problem.

$5\cdot 7-5\cdot x+6x\cdot 3x+6x\cdot 4$

$35-5x+18x^2+24x$

Combine like terms:

$18x^2+24x-5x+35$

$18x^2+19x+35$

Therefore, the simplified form of our given expression is $18x^2+19x+35$.