Question

Addition and subtraction of monomials

1) -3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4

2) 9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2

3) 3x^2 - 6 - 4x^2 + 7x^2 - 4x+11

4) -2x^2 + 10x^2 - 3x - 4x + 11

5) -19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c

(PS: The ^ means that the number to the right of it is an exponent)

Answer 1

-3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4

Combining like terms, we get:

-243 + 7x^4 - 8x^3 + 3x^2 + 5x + 13

9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2

Combining like terms, we get:

9x^5 + 2x^4 + 5x^3 - x^2 - 6

3x^2 - 6 - 4x^2 + 7x^2 - 4x+11

Combining like terms, we get:

6x^2 - 4x + 5

-2x^2 + 10x^2 - 3x - 4x + 11

Combining like terms, we get:

8x^2 - 7x + 11

-19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c

Combining like terms, we get:

-36a - 25b - 5c

Answer 2

1) -3^5 + 7x^4 - 15x^2 + 8x + 13

2) 12x^5 + 8x^3 - 2x^2 + 3

3) 9x^2 - 4x + 11

4) 8x^2 + 6x + 11

5) -32a + 12b - 3c