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Popular >

simplify (2-5i)(4+7i)

Solution

simplify

(2 - 5 i) (4 + 7 i)

Solution

43 - 6 i

Solution steps

(2 - 5 i) (4 + 7 i)

Apply complex arithmetic rule:

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

= (2 \cdot 4 - (- 5) \cdot 7) + (2 \cdot 7 - 5 \cdot 4) i

Simplify

(2 \cdot 4 - (- 5) \cdot 7) + (2 \cdot 7 - 5 \cdot 4) i : 43 - 6 i

= 43 - 6 i

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Frequently Asked Questions (FAQ)

What is (2-5i)(4+7i) ?
The solution to (2-5i)(4+7i) is 43-6i