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Popular >

simplify (7+9i)(7+4i)

Solution

simplify

(7 + 9 i) (7 + 4 i)

Solution

13 + 91 i

Solution steps

(7 + 9 i) (7 + 4 i)

Apply complex arithmetic rule:

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

= (7 \cdot 7 - 9 \cdot 4) + (7 \cdot 4 + 9 \cdot 7) i

Simplify

(7 \cdot 7 - 9 \cdot 4) + (7 \cdot 4 + 9 \cdot 7) i : 13 + 91 i

= 13 + 91 i

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Frequently Asked Questions (FAQ)

What is (7+9i)(7+4i) ?
The solution to (7+9i)(7+4i) is 13+91i