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Popular >

simplify (7+5i)(-6+9i)

Solution

simplify

(7 + 5 i) (- 6 + 9 i)

Solution

- 87 + 33 i

Solution steps

(7 + 5 i) (- 6 + 9 i)

Apply complex arithmetic rule:

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

= (7 (- 6) - 5 \cdot 9) + (7 \cdot 9 + 5 (- 6)) i

Simplify

(7 (- 6) - 5 \cdot 9) + (7 \cdot 9 + 5 (- 6)) i : - 87 + 33 i

= - 87 + 33 i

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Frequently Asked Questions (FAQ)

What is (7+5i)(-6+9i) ?
The solution to (7+5i)(-6+9i) is -87+33i