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Popular >

simplify (10+2i)^2

Solution

simplify

(10 + 2 i)^{2}

Solution

96 + 40 i

Solution steps

(10 + 2 i)^{2}

Apply Perfect Square Formula:

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

(10 + 2 i)^{2} = 1 0^{2} + 2 \cdot 10 \cdot 2 i + (2 i)^{2}

= 1 0^{2} + 2 \cdot 10 \cdot 2 i + (2 i)^{2}

Simplify

1 0^{2} + 2 \cdot 10 \cdot 2 i + (2 i)^{2} : 40 i + 96

= 40 i + 96

Rewrite in standard complex form:

96 + 40 i

= 96 + 40 i

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Frequently Asked Questions (FAQ)

What is (10+2i)^2 ?
The solution to (10+2i)^2 is 96+40i