Exponent Rules

Adding/Subtracting polynomials

100

x²-2

x²-2

200

(x³+4)+(x²-6)

x³+x²-2

300

(a³+b²+c+1)-(a³+b²+c+1)

0

400

(x⁷+y-14)-(-y+12)

x⁷+2y-26

500

(3x⁵-x²-7y)+(x⁵+2x²-12y)

4x⁵+x²-19y

Multiplying monomials

100

x³(-3x⁴)

-3x⁷

200

3x⁴(8x⁷)

24x¹¹

300

-6a²b⁴(3ab²)

-18a³b⁶

400

-9a⁷b(-5a³b⁷)

45a¹⁰b⁸

500

12x⁴y²z⁸(-4x³yz⁸)

-48x⁷y³z¹⁶

Raising powers to powers

100

(x³)⁶

x¹⁸

200

(2x³)²

4x⁶

300

(5x⁴)²

25x⁸

400

(3x²y)⁵

243x¹⁰y⁵

500

(9a²b²c⁸)³

729a⁶b⁶c²⁴

Using the distributive property with exponent rules

100

x(x-2)

x²-2x

200

2x(x+y)

2x²+2xy

300

4a²(a³+b²-12)

4a⁵+4a²b²-48a²

400

3xy³(4x-y³+2)

12x²y³-3xy⁶+6xy³

500

-7a⁴(3a²-b²+2)

-21a⁶+7a⁴b²-14a⁴

Multiplying polynomials

100

(2+x)(x-1)

x²+x-2

200

(x²-2)(-4x+5)

-4x³+13x²-10

300

(y³-5)(3x²y-2y³)

3x²y⁴-2y⁶-15x²y+10y³

400

(189x²y³c⁹-189x²y³c⁹)(6145a⁴b⁵c²-6145a⁴b⁵c²)

0

500

THIS QUESTION IS WORTH DOUBLE THE POINTS

(2x²-y³)(x²+2y-z)

2x⁴-2y4+4x²y-2x²z-x²y³+y³z