Negative and Rational Exponents
Polynomials
Rational Expression
Adding and Subtracting Rational Expression
Multiplying and Dividing Rational Expression
100
4(x^2 - 3xy) - (x+y)^2 - 2(x-y) + (x+y) + 5
What is... 5x^2 - 14xy + 3y^2 + 5
100
Collect like terms
"how do you add polynomials"
100
_/25
What is 5
100
2/y+ 4/y - 5/y
What is 1/y y can not be 0
100
A key step, when your multiplying and dividing rationals
What is common factoring?
200
Keep the base and subtract the exponents. Eg. 4x^10y^14/6x^5y^2
What is... Division Rule of Exponents 2/3x^5y^12
200
You must multiply the second brackets by -1, changing all the signs
What is subtracting polynomials
200
125^1/3
What is 5
200
2y-1/3 +3y-6/3
What is 5y-7/3
200
2x^2+6x/x-2 / x+3/x^2-2x
What is 2x^2 x can not be 0
300
Keep the base and add the exponents. Eg. (2a^2b)(1/4a^5b)
What is... Multiplication Rule of Exponents 1/2a^7b^2
300
Using the distributive property, expand and simplify each bracket
How do you multiply polynomials?
300
64^0.5
What is 8
300
2m+3/2 + 3m+4/7
What is 20m+29/14
300
3(m+4)/5m * 6m^3/2(m+4)
What is 9m^2/5
400
Keep the base and multiply the exponents. Eg. (12^3)^8
What is... Power Rule of Exponents 12^24
400
Multiply each term of one the polynomials by each term of the other polynomial. Then collect like terms
How do you find the product of two polynomials?
400
10,000^1/4
What is 10
400
4x+1/x^2+5x+6 + 3x+2/x^2+5x+6
What is 7x+3/x^2+5x+6 x can not be -2 and -3
400
2x-4/9x^2-18x
What is 2/9x
500
When a base is raised to a negative exponent, it can be written as the reciprocal of the base raised to the same exponent only now it is a positive exponent.
What is... Negative Exponent Rule
500
Write the trinomial twice as it is squared, then expan and simplify.
How do you square a trinomial?
500
16^-3/4
What is 1/8
500
2a^2(4)/2a^2(5a) - 5a(3)/5a(2a^2) + 10(1)/10(a^3)
What is 8a^2-15a+10/10a^3 a can not be 0
500
______ | | --- x^2-9/x |______| | x^2-4x/x^2+5x+6
What is (x-3)(x-4)/x+2
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