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Popular >

simplify (1+5i)^2

Solution

simplify

(1 + 5 i)^{2}

Solution

- 24 + 10 i

Solution steps

(1 + 5 i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(1 + 5 i)^{2} = 1^{2} + 2 \cdot 1 \cdot 5 i + (5 i)^{2}

= 1^{2} + 2 \cdot 1 \cdot 5 i + (5 i)^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 5 i + (5 i)^{2} : 10 i - 24

= 10 i - 24

Rewrite in standard complex form:

- 24 + 10 i

= - 24 + 10 i

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Frequently Asked Questions (FAQ)

What is (1+5i)^2 ?
The solution to (1+5i)^2 is -24+10i