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Popular >

simplify (-3+7i)*(2+5i)

Solution

simplify

(- 3 + 7 i) \cdot (2 + 5 i)

Solution

- 41 - i

Solution steps

(- 3 + 7 i) (2 + 5 i)

Apply complex arithmetic rule:

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

= (- 3 \cdot 2 - 7 \cdot 5) + (- 3 \cdot 5 + 7 \cdot 2) i

Simplify

(- 3 \cdot 2 - 7 \cdot 5) + (- 3 \cdot 5 + 7 \cdot 2) i : - 41 - i

= - 41 - i

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Frequently Asked Questions (FAQ)

What is (-3+7i)*(2+5i) ?
The solution to (-3+7i)*(2+5i) is -41-i