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Popular >

simplify (1+2i)(3-i)^2

Solution

simplify

(1 + 2 i) (3 - i)^{2}

Solution

20 + 10 i

Solution steps

(1 + 2 i) (3 - i)^{2}

= (3 - i)^{2} (1 + 2 i)

Expand

(3 - i)^{2} : - 6 i + 8

= (- 6 i + 8) (1 + 2 i)

Apply FOIL method

(- 6 i + 8) (1 + 2 i) : 10 i + 20

= 10 i + 20

Rewrite in standard complex form:

20 + 10 i

= 20 + 10 i

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Frequently Asked Questions (FAQ)

What is (1+2i)(3-i)^2 ?
The solution to (1+2i)(3-i)^2 is 20+10i