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(6+3i)(5-6i)=

Algebra Calculus Trigonometry Matrix

Question

\left(6+3i\right)\left(5-6i\right)

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

Calculate

-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

30-36i+15i+18

Solution

48-21i

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