Question

Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)

Answer 1

35-5x+18x^2+24x 
Simplify:
18x^2+19x+35

Answer 2

Answer:

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

Step-by-step explanation:

The given expression is

$5(7-x)+6x(3x+4)$

We need to find the simplified form of the given expression.

Using distributive property we get

$5(7)+5(-x)+6x(3x)+6x(4)$

On further simplification we get

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

On combine like terms.

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

$18x^2+19x+35$

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