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Popular >

simplify (10+4i)^2

Solution

simplify

(10 + 4 i)^{2}

Solution

84 + 80 i

Solution steps

(10 + 4 i)^{2}

Apply Perfect Square Formula:

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

(10 + 4 i)^{2} = 1 0^{2} + 2 \cdot 10 \cdot 4 i + (4 i)^{2}

= 1 0^{2} + 2 \cdot 10 \cdot 4 i + (4 i)^{2}

Simplify

1 0^{2} + 2 \cdot 10 \cdot 4 i + (4 i)^{2} : 80 i + 84

= 80 i + 84

Rewrite in standard complex form:

84 + 80 i

= 84 + 80 i

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Frequently Asked Questions (FAQ)

What is (10+4i)^2 ?
The solution to (10+4i)^2 is 84+80i