Question

Subtract.

a)5a−6b+7c from 13a−4b+8c
b)2x²−3xy+4y² from 3x²−5xy−6y²
c)x²+4xy−3y² from 2x²−5xy+y²
d)4x³−6x²+8x−9 from 7x³−16x+18
100 POINTS!!!

Answer 1

a) 8a + 2b + c

b) x² - 2xy - 10y²

c) x² - 9xy + 4y²

d) 3x³ + 6x² - 24x + 27

Explanation:

a)5a−6b+7c from 13a−4b+8c

13a - 4b + 8c - (5a - 6b + 7c)

13a - 4b + 8c - 5a + 6b - 7c

8a + 2b + c

b)2x²−3xy+4y² from 3x²−5xy−6y²

3x² - 5xy - 6y² - (2x² - 3xy + 4y²)

3x² - 5xy - 6y² - 2x² + 3xy - 4y²

x² - 2xy - 10y²

c)x²+4xy−3y² from 2x²−5xy+y²

2x² - 5xy + y² - (x² + 4xy - 3y²)

2x² - 5xy + y² - x² - 4xy + 3y²

x² - 9xy + 4y²

d)4x³−6x²+8x−9 from 7x³−16x+18

7x³ - 16x + 18 - (4x³ - 6x² + 8x - 9)

7x³ - 16x + 18 - 4x³ + 6x² - 8x + 9

3x³ + 6x² - 24x + 27

Answer 2

see below

Explanation:

a)5a−6b+7c from 13a−4b+8c

13a−4b+8c -(5a−6b+7c)

Distribute the minus sign

13a−4b+8c -5a+6b-7c

Combine like terms

8a +2b +c

b)2x²−3xy+4y² from 3x²−5xy−6y²

3x²−5xy−6y² - (2x²−3xy+4y²)

Distribute the minus sign

3x²−5xy−6y² - 2x²+3xy-4y²

Combine like terms

x²−2xy−10y²

c)x²+4xy−3y² from 2x²−5xy+y²

2x²−5xy+y² - (x²+4xy−3y²)

Distribute the minus sign

2x²−5xy+y² - x²-4xy+3y²

Combine like terms

x²−9xy+4y²

d)4x³−6x²+8x−9 from 7x³−16x+18

7x³−16x+18 - (4x³−6x²+8x−9)

Distribute the minus sign

7x³−16x+18 - 4x³+6x²-8x+9

Combine like terms

3x³+6x²−24x+27