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Popular >

simplify (5+i)(-10+6i)

Solution

simplify

(5 + i) (- 10 + 6 i)

Solution

- 56 + 20 i

Solution steps

(5 + i) (- 10 + 6 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (5 (- 10) - 1 \cdot 6) + (5 \cdot 6 + 1 \cdot (- 10)) i

Simplify

(5 (- 10) - 1 \cdot 6) + (5 \cdot 6 + 1 \cdot (- 10)) i : - 56 + 20 i

= - 56 + 20 i

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Frequently Asked Questions (FAQ)

What is (5+i)(-10+6i) ?
The solution to (5+i)(-10+6i) is -56+20i