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Example Questions
Example Question #391 : College Algebra
Add:
To add the terms of the numerator, we will need to have the same denominator.
Multiply both denominators together.
Multiply the numerators with what was multiplied on the denominator.
Combine like terms.
The answer is:
Example Question #391 : College Algebra
Add/Subtract:
None of the Above
Step 1: Find the Least Common denominator of all the fractions..
LCD=
Step 2: Convert all fractions to denominator .
Step 3: Re-write all fractions in terms of the original equation...
Answer: or
Example Question #1 : Basic Operations With Complex Numbers
Consider the following definitions of imaginary numbers:
Then,
Example Question #1 : Basic Operations With Complex Numbers
What is the value of ?
When dealing with imaginary numbers, we multiply by foiling as we do with binomials. When we do this we get the expression below:
Since we know that we get which gives us .
Example Question #1 : Basic Operations With Complex Numbers
What is the value of ?
Recall that the definition of imaginary numbers gives that and thus that . Therefore, we can use Exponent Rules to write
Example Question #6 : How To Add Integers
Add:
When adding complex numbers, add the real parts and the imaginary parts separately to get another complex number in standard form.
Adding the real parts gives , and adding the imaginary parts gives .
Example Question #2 : Complex Numbers
Divide:
The answer must be in standard form.
Multiply both the numerator and the denominator by the conjugate of the denominator which is which results in
The numerator after simplification give us
The denominator is equal to
Hence, the final answer in standard form =
Example Question #2 : Complex Numbers
Divide:
Answer must be in standard form.
Multiply both the numerator and the denominator by the conjugate of the denominator which is resulting in
This is equal to
Since you can make that substitution of in place of in both numerator and denominator, leaving:
When you then cancel the negatives in both numerator and denominator (remember that , simplifying each term), you're left with a denominator of and a numerator of , which equals .
Example Question #21 : Sat Subject Test In Math I
Evaluate:
Use the FOIL method to simplify. FOIL means to mulitply the first terms together, then multiply the outer terms together, then multiply the inner terms togethers, and lastly, mulitply the last terms together.
The imaginary is equal to:
Write the terms for .
Replace with the appropiate values and simplify.
Example Question #4 : Complex Numbers
The answer is not present.
Combine like terms:
Distribute:
Combine like terms: