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- Algebra
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- Trigonometry
- Matrix
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- Integral
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Question
\left(6+3i\right)\left(5-6i\right)
Simplify the expression
48-21i
Evaluate
\left(6+3i\right)\left(5-6i\right)
Apply the distributive property
6\times 5+6\left(-6i\right)+3i\times 5+3i\left(-6i\right)
Multiply the numbers
30+6\left(-6i\right)+3i\times 5+3i\left(-6i\right)
Multiply the numbers
30-36i+3i\times 5+3i\left(-6i\right)
Multiply the numbers
30-36i+15i+3i\left(-6i\right)
Multiply the numbers
More Steps
Evaluate
3i\left(-6i\right)
Multiply
3\left(-6\right)i^{2}
Multiply
-18i^{2}
\text{Use }i^2=-1\text{ to transform the expression}
-18\left(-1\right)
Calculate
18
30-36i+15i+18
Calculate
48-36i+15i
Solution
More Steps
Evaluate
-36i+15i
Collect like terms by calculating the sum or difference of their coefficients
\left(-12+5\right)\times 3i
Calculate
-7\times 3i
Multiply the numbers
-21i
48-21i
Show Solutions
