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Popular >

simplify (4-3i)(5+7i)

Solution

simplify

(4 - 3 i) (5 + 7 i)

Solution

41 + 13 i

Solution steps

(4 - 3 i) (5 + 7 i)

Apply complex arithmetic rule:

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

= (4 \cdot 5 - (- 3) \cdot 7) + (4 \cdot 7 - 3 \cdot 5) i

Simplify

(4 \cdot 5 - (- 3) \cdot 7) + (4 \cdot 7 - 3 \cdot 5) i : 41 + 13 i

= 41 + 13 i

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Frequently Asked Questions (FAQ)

What is (4-3i)(5+7i) ?
The solution to (4-3i)(5+7i) is 41+13i