Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b 2 + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n 2 + n − 4)(6n 2 − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Dividing Polynomials

100

(x²+x-30)/(x+6)

x-5

200

(5n²-39n-11)/(n-8)

5n+1 - (3/n-8)

300

(4x³-5x²-10x+16/(x-2)

4x²+3x-4 + (8/x-2)

400

(13-21v+7v⁴-3v³)/(7v-3)

v³-3+(4/7v-3)

500

(3n⁴+4n³+18n+25)/(3n+4)

n³+6+(1/3n+4)

Exponent Rules

100

3p²(3p)³

81p⁵

200

(2a² (a²)²)/a

2a⁵

300

(-x^-5y^-5)^-1

-xy⁵

400

(x⁵y^-4)/(-xy⁴x⁵)3

-1/y¹⁶x¹³

500

(u³v^-1)^-2/(2u^-4v⁰ 2uv⁰ (2u^-1v^-2)^-4)

4/u⁷v⁶