Add or Subtract (3x^5-4x^4+2x^2+3)-(2x^5-4x^4+3x^3+4x^2-5)

Question

Subtract these polynomials

Answer 1

x^5-3x^3-2x^2+8

Answer 2

Would  the answer then be:  -4x+8 ?

Answer 3

You can only combine terms with the same exponent and the same variable.

Look at it this way:

x to the fifth power terms 3x^5 - 2x^5 = x^5

x to the fourth power terms  -4x^4 - -4x^4 = 0

x to the third power terms 0 - 3x^3 = -3x^3

x squared terms 2x^2 - 4x^2 = -2x^2

whole numbers 3 - -5 = 8

so you have x^5-3x^3-2x^2+8

This cannot be simplified any further.

 

 

Answer 4

4-3x+2(5-3x)=4x+1