tanabugg
contestada

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

Respuesta :

jellybeans9090
workings
[tex]5(7 - x) + 6x(3x + 4) \\ = 35 - 5x + 18 {x}^{2} + 24x \\ = 18 {x}^{2} + 19 + 35 [/tex]

Answer:

[tex]18x^2+19x+35[/tex]

Step-by-step explanation:

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

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

[tex]5\cdot 7-5\cdot x+6x\cdot 3x+6x\cdot 4[/tex]

[tex]35-5x+18x^2+24x[/tex]

Combine like terms:

[tex]18x^2+24x-5x+35[/tex]

[tex]18x^2+19x+35[/tex]

Therefore, the simplified form of our given expression is [tex]18x^2+19x+35[/tex].

Otras preguntas