How do you simplify #2x + 3x - 5x ( 2+ x ) + 4- x ( 3+ 4)#?

2 Answers
Mar 12, 2018

#-5x^2 - 12x + 4#

Explanation:

#2x + 3x - 5x (2 + x) + 4 - x(3 + 4)#

Removing all the brackets by multiplying it with the integer outside the bracket;

#2x + 3x - 10x - 5x^2 + 4 - 3x - 4x#

Simiplifying the equation;

#2x + 3x - 10x - 3x - 4x - 5x^2 + 4#

#-12x - 5x^2 + 4#

#-5x^2 - 12x + 4 ->"simplified"#

Mar 12, 2018

#-5x^2 - 12x + 4 #

Explanation:

I'm going to do an entire dang proof for this lol

#2x + 3x -5x ( 2 + x ) + 4 -x ( 3 + 4 )= #
1. Original Problem

#2x + 3x -5x ( 2 + x ) + 4 -x ( 7 )= #
2. Solve within the parenthesis (following PEMDAS)

#2x + 3x - 10x - 5x^2 + 4 -7x = #
3. Distribute

#-5x^2 - 12x + 4 #
4. Simplify

And that's it