Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x^2 + 2x) + (x^2 + 6x)

5x^2 +8x

200

(-3y^2 + y) + (4y^2 + 6y)

y^2 +7y

300

(2a^2 - 7a + 10) + (a^2 + 4a + 7)

3a^2 -3a +17

400

(7 - 5r + 2r^2) + (3r^3 - 6r)

3r^3 + 2r^2 -11r + 7

500

(5r^3 - 6r^2 +3r) + (-3 -2r + r^2)

5r^3 - 5r^2 + r - 3

Subtraction of Polynomials

100

(y^2 - 10xy) - (2y^2 + 3xy)

-y^2 -13xy

200

(2x^2 + 5x - 3) - (3x^3 + 2x - 5)

-3x^3 + 2x^2 +3x + 2

300

(-3a^2 - 2a) - (4a^2 - 4)

-7a^2 - 2a + 4

400

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

4x^3 + 3x^2 +3x + 1

500

(4 - x - 2x^2) - (-2 + 3x - x^3)

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

Multiply Monomials

100

(2x^4)(5x^2)

10x^6

200

(3x^5)(9x)

27x^5

300

(7x^2y^4)(2x)

14x^3y^4

400

(5xyz)(2xy^3z^2)

10x^2y^4z^3

500

(14x^4yz^2)(xz^4)

14x^5yz^6

Multiply monomials 2

100

(a^2)(a^3)

a^5

200

(a^4 b^6)(a^2 b^9)

a^6 b^15

300

(x^-2 y^4 z^2)(x^6 y^4 z^2)

x^4y^8z^4

400

(3a^4 b^3)(3 a^5 b)

9a^9b^4

500

(-12 w^-4 x^19 y^2 z^5)(-3w^4 x^-9 y^3)

36x^10y^5z^5

Mixed

100

(2x + 2) + (3x - 1)

5x - 1

200

Combine like terms - leave answer in Standard Form:

-4x - 5x + 6x³ + 8

6x³ - 9x + 8

300

Subtract the polynomials and write the answer in standard form:

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

400

(3x⁴ + 6x² + 14x - 5) + (3x³ + 3x² - 10)

3x⁴ + 3x³ + 9x² + 14x - 15

500

(3x - 3x² - 3x³ - 3x⁴) - (3x - 3x² - 3x³ - 3x⁴)

0