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Popular >

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

Solution

simplify

(4 + 7 i) (3 + 4 i)

Solution

- 16 + 37 i

Solution steps

(4 + 7 i) (3 + 4 i)

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot 3 - 7 \cdot 4) + (4 \cdot 4 + 7 \cdot 3) i : - 16 + 37 i

= - 16 + 37 i

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Frequently Asked Questions (FAQ)

What is (4+7i)(3+4i) ?
The solution to (4+7i)(3+4i) is -16+37i