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

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

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`.