Product Rule
Use the product rule for exponents to multiply:
x^2x^3
x^5
Use the quotient rule for exponents to divide:
x^8/x^3
x^5
Use the power rule to simplify:
(4x^3)^2
16x^6
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
Use the product rule for exponents to multiply:
3y^4x^3y^2
3x^3y^6
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
Use the power rule to simplify:
(3x^2y^4)^3
27x^6y^12
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x^2+24x+2
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
Use the power rule to simplify:
2(4x^2yz^3)^2
32x^4y^2z^6
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
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
Use the product rule for exponents to multiply:
(3x^2y^3)(-2x^3y^2z)
-6x^5y^5z
Use the quotient rule and the negative exponent rule to simplify:
(10x^3)(y^6)/(2x^7)(y^2)
(5y^4)/x^4
Use the product rule and the zero rule to simplify:
(25x^15)^0(3x)^3
27x^3
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
Use the product rule for exponents to multiply:
-4x^2(x^3-3x^2+2x-1)
-4x^5+12x^4-8x^3+4x^2
Use the quotient rule and the negative exponent rule to simplify:
(5x^5y^2z)/(25xy^7z^3)
(x^4)/(5y^5z^2)
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^-2
(x^9y^8)/9
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30