How do you simplify 3x ( 2x + 3) - 4( x ^ { 2} - 2x) 3x(2x+3)4(x22x)?

2 Answers
Jan 14, 2018

2x^2+17x2x2+17x

Explanation:

1) First, multiply the bracket(s) out, this gets us:

color(red)(3x(2x+3)3x(2x+3)

=> 3x xx 2x=6x^23x×2x=6x2

=> 3x xx 3=9x3x×3=9x

color(red)(-4(x^2-2x)4(x22x)

=> -4 xx x^2=-4x^24×x2=4x2

=> -4 xx -2x=8x4×2x=8x

Since color(red)(-1 xx -1=11×1=1

therefore color(Red)(-4 xx -2x=8x

2) Plug this back into the expression, replacing the brackets before with the answers we just got gets us:

color(green)(6x^2)+color(blue)(9x)color(GREEN)(-4x^2)color(BLUE)(+8x)

3) Collect like-terms to simplify this further:

color(green)(6x^2-4x^2=2x^2

color(Blue)(9x+8x=17x

4) Then plug this back into the expression, as it is fully simplified. Leaving us with:

color(red)(2x^2+17x

Jan 14, 2018

2x^2+17x

Explanation:

"distribute brackets and collect like terms"

=color(red)(6x^2)color(blue)(+9x)color(red)(-4x^2)color(blue)(+8x)

=2x^2+17x