Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
What is the perimeter of a rectangle with a length of x + 2 and a width of 2x + 4
6x + 12
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
Factor:
4x2-16x
4x(x-4)
Use the quotient rule for exponents to divide:
(x^2y^5)/(xy^3)
xy^2
What is the area of a square with a side that measures 2x - 1
4x2-4x+1
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
Factor: x2-25
(x+5)(x-5)
Use the power rule to simplify:
(4x^2yz^3)^2
16x^4y^2z^6
Simplify: 2x2(-4x3+5x-3)
-8x5 + 10x3 - 6x2
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
Factor: x2+x-12
(x+4)(x-3)
Use the quotient rule and the negative exponent rule to simplify:
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
Find the GCF of the following:
12a3b4 - 10a4b2
2a3b2
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
Factor: 2x2+10x-28
2(x+7)(x-2)
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
When asked to factor, the first thing you need to do is _______________
see if there is a GCF and factor it out
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
Factor: 6x2+33x+36
3(2x+3)(x+4)