Quick Homework Help

# Simplify the expression by removing grouping symblols and combining like terms. Write the terms from the highest to the lowest power of the variable.  -4x^2 - [3x - (18x^2 +4x)] - [8 + (-10x - 8)] ⚑ Flag

by Brandon445 at May 12, 2011

First, combine terms with same exponentsSecond, list terms in order from highest to lowest exponent.

Steve204 May 12, 2011

-4x^2-3x+18x^2+4x-8+10x+8 combining the like terms 14x^2+11x

chitra003 May 13, 2011

First, take the problem and break it in three pieces:-4x^2-(3x-(18x^2+4x))-(8+(10x-8))Your problem is the Sum of these parts, I'll start at the back: -(8+(-10x-8)) I like to think of this as distributing a neg 1 : (-1)(8)+(-1)(-10x)+(-1)(-8)=(-8+10x+8) The eights cancel each other out, leaving 10x.The middle part of the sum looked like:-(3x-(18x^2+4x)) (Watch the (-1)s...)=-(3x+-18x^2-4x)=-3x+18x^2+4x (-3x+4x= x)=18x^2+x Will be the middle bit, So it goes back together as:(-4x^2)+((18x^2)+(x))+(10x) Pardon the parenthises, if they don't help you see how I got here, This is the same:-4x^2+18x^2+x+10x     (x and x^2) are like terms, so...)=14x^2+11x    Is your simplified answer.To check, choose any value for x, and run both evaluations-  (X=5)-4(5)^2-(3(5)-(18(5)^2)+4(5))-(8+(10(5)-8))=405and...14x^2+11x=405... Good times

SerTorm May 13, 2011