How do you combine like terms in #(4x^2-5x-3)-(-4x^2+8x-9)#?

1 Answer
Sep 16, 2016

#-13x+6#

Explanation:

The first step is to distribute the brackets and then collect like terms.

#color(red)(1)(4x^2-5x-3)color(red)(-1)(-4x^2+8x-9)#

#=4x^2-5x-3+4x^2-8x+9" distributing brackets"#

Like terms are terms which have the same variable.

combining them.

#(color(red)(4x^2-4x^2))+(color(magenta)(-5x-8x))+(color(blue)(-3+9))#

and simplifying.

#=-13x+6#