Subtract the following polynomials

Question

subtract the polynomial expressions

(2x³-3x²+4x-6) - (4x³-9x²+7x-21)

Answer 1

= -2x^3 +6x^2 -3x +15

distribute the - sign for the 2nd polynomial

then combine like terms

Answer 2

(2x³-3x²+4x-6) - (4x³-9x²+7x-21)

First Step:

you should simplify by removing brackets ()

2x³-3x²+4x-6-4x³+9x²-7x+21

Second Step:

when you want to subtract or add polynomials you should combine the terms as 2x³ and -4x³ they have the same degree

2x³-4x³-3x²+9x²+4x-7x-6+21

=-2x³+6x²-3x+15

now try this:

(5x³-3x+4)-(3x³+2x²-3x+9)

Answer 3

To subtract the polynomial expressions (2x3−3x2+4x−6) and (4x3−9x2+7x−21):

Distribute the negative sign

When subtracting the second polynomial, distribute the negative sign to each term in the second polynomial:

(2x3−3x2+4x−6)−(4x3−9x2+7x−21)=2x3−3x2+4x−6−4x3+9x2−7x+21

Combine like terms

Now, combine the like terms (the terms with the same degree of x):

1. Combine the x^3 terms: 2x3−4x3=−2x3
2. Combine the x^2 terms: −3x2+9x2=6x2
3. Combine the x terms: 4x−7x=−3x
4. Combine the constant terms: −6+21=15

The result of subtracting the polynomial expressions is:

−2x3+6x2−3x+15

Answer 4

Video Attached!