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Matrix
(6+3i)(5-6i)=
Question
\left(6+3i\right)\left(5-6i\right)
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Simplify the expression
48-21i
Evaluate
\left(6+3i\right)\left(5-6i\right)
Calculate
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
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Evaluate
6\left(-6\right)
Multiplying or dividing an odd number of negative terms equals a negative
-6\times 6
Multiply the numbers
-36
30-36i+3i\times 5+3i\left(-6i\right)
Multiply the numbers
30-36i+15i+3i\left(-6i\right)
Multiply the numbers
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Evaluate
3i\left(-6i\right)
Calculate
3\left(-6\right)i^{2}
Rewrite the expression
3\left(-6\right)\left(-1\right)
Calculate
18
30-36i+15i+18
Solution
48-21i
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