Show:
Product Rule
Quotient Rule
Power Rule
Adding & Subtracting Polynomials
Multiplying Polynomials
100

Use the product rule for exponents to multiply:

x^2x^3

x^5

100

Use the quotient rule for exponents to divide:

x^8/x^3

x^5

100

Use the power rule to simplify:

(4x^3)^2

16x^6

100

Add the following polynomials. Write your final answer in standard form.

(4x^2+4)+(19x^2-7)

23x^2-3

100

Multiply the polynomials. Write your final answer in standard form.

-3x(2x^2+4)

-6x^3-12x

200

Use the product rule for exponents to multiply:

3y^4x^3y^2

3x^3y^6

200

Use the quotient rule for exponents to divide:

(x^2y^5)/(xy^3)

xy^2

200

Use the power rule to simplify:

(3x^2y^4)^3

27x^6y^12

200

Add the following polynomials. Write your final answer in standard form.

(13x^2y-2x+1)+(9x^2y-7)

22x^2y-2x-6

200

Multiply the polynomials. Write your final answer in standard form.

(9x+1)(6x+2)

54x^2+24x+2

300

Use the product rule for exponents to multiply:

4x^3*5x^2

20x^5

300

Use the quotient rule and the negative exponent rule to simplify:

(2x^2y^4)/(8x^5y^5)

(1)/(4x^3y)

300

Use the power rule to simplify:

2(4x^2yz^3)^2


32x^4y^2z^6

300

Add the following polynomials. Write your final answer in standard form.

(-x^3+8x^2-5)+(10x^3-x^2+1)

9x^3+7x^2-4

300

Multiply the polynomials. Write your final answer in standard form.

(4x-1)^2

16x^2-8x+1

400

Use the product rule for exponents to multiply:

(3x^2y^3)(-2x^3y^2z)

-6x^5y^5z

400

Use the quotient rule and the negative exponent rule to simplify:

(10x^3)(y^6)/(2x^7)(y^2)

(5y^4)/x^4

400

Use the product rule and the zero rule to simplify: 

(25x^15)^0(3x)^3

27x^3

400

Subtract the following polynomials. Write your final answer in standard form.

(3x+2)-(11x-6)

-8x+8

400

Multiply the polynomials. Write your final answer in standard form.

(7x+4)(7x-4)

49x^2-16

500

Use the product rule for exponents to multiply:

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

-4x^5+12x^4-8x^3+4x^2

500

Use the quotient rule and the negative exponent rule to simplify:

(5x^5y^2z)/(25xy^7z^3)

(x^4)/(5y^5z^2)

500

Use the exponent rules to simplify:

(x^3y^4)^3*(3xy^2)^-2

(x^9y^8)/9

500

Subtract the following polynomials. Write your final answer in standard form.

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

-2x+6

500

Multiply the polynomials. Write your final answer in standard form.

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

6x^3-17x^2+17x-30