All Algebra II Resources
Example Questions
Example Question #62 : Solving Rational Expressions
Simplify:
None of the above
Factor both the numerator and the denominator which gives us the following:
After cancelling we get
Example Question #14 : Multiplying And Dividing Rational Expressions
Simplify:
There is a common factor in the numerator. Pull out the common factor and rewrite the numerator.
Factorize the denominator.
Cancel the term in the numerator and denominator.
The answer is:
Example Question #632 : Intermediate Single Variable Algebra
Multiply:
First factor the numerators and denominators of the two fractions. This allows us to re-write the original problem like this:
Now we can cancel terms that appear on both the top and the bottom, since they will divide to be a factor of . This means we can can cancel the top and bottom
, the top and bottom
, and the top and bottom
. This leaves us with the following answer:
Example Question #633 : Intermediate Single Variable Algebra
First, completely factor all 4 quadratics:
Now we can cancel all factors that appear on both the top and the bottom, because those will divide to a factor of . We quickly realize that all of the factors can be crossed off. This means that all of the factors have been divided to
. This leves us with the following answer:
Example Question #72 : Solving Rational Expressions
Multiply:
First, completely factor everything that can possibly be factored. This includes both numerators and the second denominator:
Now we can cancel everything that appears both on the top and the bottom, since it will divide to be a factor of :
We can simplify this by multiplying and
.
This leaves us with the following answer:
Example Question #12 : Multiplying And Dividing Rational Expressions
I would first start by simplifying the numerator by getting rid of the negative exponents: . Then, combine the denominator fractions into one fraction:
. At this point, we're dividing fractions so we have to multiply by the reciprocal of the second fraction:
. Multiply straight across to get:
. Make sure it can't be simplified (it can't)!
Example Question #631 : Intermediate Single Variable Algebra
First, combine the top two fractions. The common denominator between the two is Therefore, you just have to offset the first fraction so that it becomes
. Then, combine the numerators to get
. So at this point, we have:
. This is essentially a dividing fractions problem. When we divide fractions, we have to make the second fraction its reciprocal (flip it!) and then multiply the two.
. The
's cross out so your final answer is:
.
Example Question #1772 : Algebra Ii
Find the quotient of these rational expressions:
None of the other answers.
When you divide by a fraction you must multiply by its reciprocal to get the correct quotient.
Factor where able:
Cancel like terms:
Example Question #71 : Solving Rational Expressions
In this problem, we're dealing with dividing rational expressions. Therefore, we have to flip the second fraction and then multiply the two: . Simplify and multiply straight across to get your answer:
.
Example Question #71 : Solving Rational Expressions
When multiplying fractions, you will multiply straight across.
But first, see if you can reduce diagonally.
The a's cross out, and you can take out a from the other diagonal.
The coefficients also reduce.
Therefore, your answer is .
Certified Tutor
All Algebra II Resources
