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

Question

2437 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-12T07:41:00

$- 5 x^{2} - 12 x + 4$ $-5x^2 - 12x + 4$

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

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

$2 x + 3 x - 10 x - 5 x^{2} + 4 - 3 x - 4 x$ $2x + 3x - 10x - 5x^2 + 4 - 3x - 4x$

Simiplifying the equation;

$2 x + 3 x - 10 x - 3 x - 4 x - 5 x^{2} + 4$ $2x + 3x - 10x - 3x - 4x - 5x^2 + 4$

$- 12 x - 5 x^{2} + 4$ $-12x - 5x^2 + 4$

$- 5 x^{2} - 12 x + 4 \to simplified$ $-5x^2 - 12x + 4 ->"simplified"$

Answer 2 · 2018-03-12T07:41:36

$- 5 x^{2} - 12 x + 4$ $-5x^2 - 12x + 4$

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

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

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

$2 x + 3 x - 10 x - 5 x^{2} + 4 - 7 x =$ $2x + 3x - 10x - 5x^2 + 4 -7x =$
3. Distribute

$- 5 x^{2} - 12 x + 4$ $-5x^2 - 12x + 4$
4. Simplify

And that's it

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