Finite Math Examples

Write in Standard Form ((3+6i)^2)/(2i)
Step 1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 2
Multiply.
Tap for more steps...
Step 2.1
Combine.
Step 2.2
Simplify the numerator.
Tap for more steps...
Step 2.2.1
Rewrite as .
Step 2.2.2
Expand using the FOIL Method.
Tap for more steps...
Step 2.2.2.1
Apply the distributive property.
Step 2.2.2.2
Apply the distributive property.
Step 2.2.2.3
Apply the distributive property.
Step 2.2.3
Simplify and combine like terms.
Tap for more steps...
Step 2.2.3.1
Simplify each term.
Tap for more steps...
Step 2.2.3.1.1
Multiply by .
Step 2.2.3.1.2
Multiply by .
Step 2.2.3.1.3
Multiply by .
Step 2.2.3.1.4
Multiply .
Tap for more steps...
Step 2.2.3.1.4.1
Multiply by .
Step 2.2.3.1.4.2
Raise to the power of .
Step 2.2.3.1.4.3
Raise to the power of .
Step 2.2.3.1.4.4
Use the power rule to combine exponents.
Step 2.2.3.1.4.5
Add and .
Step 2.2.3.1.5
Rewrite as .
Step 2.2.3.1.6
Multiply by .
Step 2.2.3.2
Subtract from .
Step 2.2.3.3
Add and .
Step 2.2.4
Apply the distributive property.
Step 2.2.5
Multiply .
Tap for more steps...
Step 2.2.5.1
Raise to the power of .
Step 2.2.5.2
Raise to the power of .
Step 2.2.5.3
Use the power rule to combine exponents.
Step 2.2.5.4
Add and .
Step 2.2.6
Simplify each term.
Tap for more steps...
Step 2.2.6.1
Rewrite as .
Step 2.2.6.2
Multiply by .
Step 2.2.7
Reorder and .
Step 2.3
Simplify the denominator.
Tap for more steps...
Step 2.3.1
Add parentheses.
Step 2.3.2
Raise to the power of .
Step 2.3.3
Raise to the power of .
Step 2.3.4
Use the power rule to combine exponents.
Step 2.3.5
Add and .
Step 2.3.6
Rewrite as .
Step 3
Multiply by .
Step 4
Split the fraction into two fractions.
Step 5
Simplify each term.
Tap for more steps...
Step 5.1
Divide by .
Step 5.2
Dividing two negative values results in a positive value.