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Popular >

simplify (5+6i)(-4+7i)

Solution

simplify

(5 + 6 i) (- 4 + 7 i)

Solution

- 62 + 11 i

Solution steps

(5 + 6 i) (- 4 + 7 i)

Apply complex arithmetic rule:

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

= (5 (- 4) - 6 \cdot 7) + (5 \cdot 7 + 6 (- 4)) i

Simplify

(5 (- 4) - 6 \cdot 7) + (5 \cdot 7 + 6 (- 4)) i : - 62 + 11 i

= - 62 + 11 i

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Frequently Asked Questions (FAQ)

What is (5+6i)(-4+7i) ?
The solution to (5+6i)(-4+7i) is -62+11i