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Popular >

simplify (2i+1)(5-i)

Solution

simplify

(2 i + 1) (5 - i)

Solution

7 + 9 i

Solution steps

(2 i + 1) (5 - i)

Rewrite

2 i + 1

in standard complex form:

1 + 2 i

= (1 + 2 i) (5 - i)

Apply complex arithmetic rule:

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

= (1 \cdot 5 - 2 (- 1)) + (1 \cdot (- 1) + 2 \cdot 5) i

Simplify

(1 \cdot 5 - 2 (- 1)) + (1 \cdot (- 1) + 2 \cdot 5) i : 7 + 9 i

= 7 + 9 i

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Frequently Asked Questions (FAQ)

What is (2i+1)(5-i) ?
The solution to (2i+1)(5-i) is 7+9i