Adding, Subtracting, Multiplying Monomials

Adding Monomials

100

6x+5x+10x+2x

23x

200

12xy+19xy+16xy

47xy

300

31x³y²+81x²y³

Not like terms: 31x³y²+81x²y³ 

400

11x²y²+6x²y²+9x²y²

26x²y²

500

31a³b²c⁵+17a³b²c⁵+8a³b²c⁵

56a³b²c⁵

Subtracting Monomials

100

9y-2x-y

6y

200

19x³y-17xy²

Not like terms: 19x³y-17xy²

300

26xy-11xy-2xy

13xy

400

-4a³b²-15a³b²

-19a³b²

500

7x²-4x-6x²-2x

x²-6x

Multiplying Monomials

100

5x³ • 7x⁷

35x¹⁰

200

11x²⁰•9x³•x²

99x²⁵

300

-4x⁶y⁵z⁷•-8x¹⁰y²z

32x¹⁶y⁷z⁸

400

-4xy•3x⁶y⁸•2x¹¹y¹⁸

-24x¹⁸y²⁷

500

6a³b²c⁹• -2a⁷b⁴c⁶•10abc

-120a¹¹b⁷c¹⁶

Adding/Subtracting Monomials

100

6xy+12xy-2x-8x

18xy-10x

200

-10x²y-2x²+16x²y

6x²y-2x²

300

17ab²+19ab-2a

Not like terms: 17ab²+19ab-2a

400

10xyz+4xyz-13xyz

xyz

500

6x²y³z⁸+10x²z⁸-9x²y³z⁸-2x²z⁸

-3x²y³z⁸+8x²z⁸

Mixed Monomial Operations

100

(2x•2x)+6x²

10x²

200

(4xy•3x²)-9x³y

3x³y

300

(6x²y²•4y³)-(5xy•3xy⁴)

9x²y⁵

400

(12a³b²c•12a²bc)-(11a³b³•4a²c²)

100a⁵b³c²

500

(4xyz⁴•7x⁸z³)+(8x⁴y•8x⁵yz)

Not like terms: 28x⁹yz⁷+64x⁹y²z