Combine the like terms in the expression. Drag the item from the item bank to its corresponding match.

−12x4 + 7x3 + 6x4 − 2x3 add answer

−5x3 + 7x4 + 4x4 − 8x3 add answer

−2x4 − 10x3 + 4x4 − 2x3 add answer

15x3 − 15x4 + 13x4 − x3 add answer

7x4 − 15x3 + 12x3 − 2x4 add answer

Answer:
11x^4 − 13x^3
14x^3 − 2x^4
2x^3 − 12x^3
5x^3 − 6x^4
5x^4 − 3x^3

NO GUESSING OR TYPING RANDOM LETTERS!

Respuesta :

A ) 5x^3 - 6x^4
B ) 11x^4 - 13x^3
C ) 14^x3 - 2x^4
D ) 2x^4 - 12x^3
E) 5x^4 - 3x^3
I believe this is all right!

The given expressions can be simplified as (by grouping similar terms)

[tex] −12x^4 + 7x^3 + 6x^4 − 2x^3 =(−12x^4+ 6x^4) + (7x^3 − 2x^3)= 5x^3-6x^4 [/tex]

[tex] −5x^3 + 7x^4 + 4x^4 − 8x^3=(−5x^3 − 8x^3)+ (7x^4 + 4x^4 )=11x^4-13x^3 [/tex]

[tex] −2x^4 − 10x^3 + 4x^4 − 2x^3=(−2x^4 + 4x^4 )−( 10x^3 + 2x^3)=2x^4-12x^3 [/tex]

[tex] 15x^3 − 15x^4 + 13x^4 - x^3=(15x^3- x^3)+ (13x^4 − 15x^4 )=14x^3-2x^4 [/tex]

[tex] 7x^4 − 15x^3 + 12x^3 -2x^4=(7x^4 -2x^4) +( 12x^3- 15x^3)=5x^4-3x^3 [/tex]