Simplify the Expression

Question

(4x³+2x²-5)-(-3x²+8)

Answer 1

(4x³+2x²-5)-(-3x²+8)

 

Simplify signs:

 

4x³ + 2x² - 5 + 3x² - 8

 

Combine like terms:

 

4x³ + 5x² - 13

Answer 2

Natalie,

To simplify the given expression requires us to combine coefficients of x where x has a similar exponent.

Starting with

( 4x³ + 2x² - 5 ) - ( -3x² + 8 )

 

First, let's get rid of the minus sign in the middle by distributing it across the last term's elements.

( 4x³ + 2x² - 5 ) + ( 3x² - 8 )

 

removing the parentheses leaves:

4x³ + 2x² - 5 + 3x² - 8

 

Now we combine the coefficients of the x terms with similar exponents

x³ only the 4

x² has +2 and +3 = 5

x has no terms

constants -13

making the final result

4x³ + 5x² - 13

 

I hope this is all clear now...

-george