Question

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

5(7-x)+6x(3x+4)
I know the answer is 18x^2+19x+35 but I need the process of getting there

Answer 1

workings

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

Answer 2

`18x^2+19x+35`

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`.