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Popular >

simplify (10+5i)*(7-2i)

Solution

simplify

(10 + 5 i) \cdot (7 - 2 i)

Solution

80 + 15 i

Solution steps

(10 + 5 i) (7 - 2 i)

Apply complex arithmetic rule:

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

= (10 \cdot 7 - 5 (- 2)) + (10 (- 2) + 5 \cdot 7) i

Simplify

(10 \cdot 7 - 5 (- 2)) + (10 (- 2) + 5 \cdot 7) i : 80 + 15 i

= 80 + 15 i

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Frequently Asked Questions (FAQ)

What is (10+5i)*(7-2i) ?
The solution to (10+5i)*(7-2i) is 80+15i