Operations with Polynomials

Multiplying

100

2x²(3x² + 7)

6x⁴ + 14x²

200

4e³(2e⁵ + 5)

8e⁸ + 20e³

300

3u⁴(3 + 4u³)

9u⁴ + 12u⁷

400

5a⁵(3 + 10a³ -4b)

15a⁵ + 50a⁸ -20a⁵b

500

7ab²c⁷(7c⁴v⁹g⁴b⁷ - 9a)

49ab⁹c¹¹v⁹g⁴ - 63a²b²c⁷

Adding

100

(3a +1) + (2a - 4)

5a - 3

200

(7x²+5+6x³) + (3x²-14+2x³)

10x²-9+8x³

300

(2x²-5-6x) + (-9x²+5-3x)

-7x² - 9x

400

(-6x - 5x⁴+3x³) + (4x⁴ +6x³ +3x)

-x⁴ +9x³ -3x

500

((4/3)x² - (7/9)x +6) + ((-7/2)x² + (8/3) - (3/2)x)

(-13/6)x² - (41/18)x + (26/3)

Dividing

100

57x⁶y³² ÷ 3x⁵y²⁶

19xy⁶

200

(42y⁸x²+24x²y⁶)÷ 6xy⁴

7xy⁴+4xy²

300

(36a¹²y¹²z³ - 28y⁷z⁸l⁹ )÷ 4y⁷z²

9a¹²zy⁵ - 7z²l⁹

400

(6n²y + 12ny⁷ - 9n³y) ÷ 3ny

2n + 4n⁶ -3n²

500

(30xy⁴m²n⁶+18x²ym³n⁶ - 111xymn³) ÷ 3xymn²

10y³mn⁴ + 6xm²n⁴ -37n

Subtracting

100

(3a +1) - (2a - 4)

a + 5

200

(7x²+5+6x³) - (3x²-14+2x³)

4x² + 19 + 4x³

300

(2x²-5-6x) - (-9x²+5-3x)

11x² - 10 - 3x

400

(7x² -x +4) - (3x² -4x -3)

4x² +3x +7

500

((7/3)x² + (5/2)x + (3/7)) - ((4/5)x - (11/2)x² +4)

(47/6)x² + (17/10)x - (25/7)

Multiplying and Dividing

100

2x(3x² - 6x)

6x³ - 12x²

200

(30y⁸-15y⁶+40y⁴) ÷ 5y⁴

6y⁴-3y²+8

300

5x²y⁶(3xy⁸z + 4x)

15x³y¹⁴z + 20x³y⁶

400

(6a³ + 96a² - 117a⁴) ÷ 3a

2a² + 32o - 39o³

500

3a²b⁴c⁵(7a⁵b⁹c¹⁰d¹³ - 9abcd⁹ef)

21a⁷b¹³c¹⁵d¹³ - 27a³b⁵c⁶d⁹ef