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Popular >

simplify (7+5i)^2

Solution

simplify

(7 + 5 i)^{2}

Solution

24 + 70 i

Solution steps

(7 + 5 i)^{2}

Apply Perfect Square Formula:

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

(7 + 5 i)^{2} = 7^{2} + 2 \cdot 7 \cdot 5 i + (5 i)^{2}

= 7^{2} + 2 \cdot 7 \cdot 5 i + (5 i)^{2}

Simplify

7^{2} + 2 \cdot 7 \cdot 5 i + (5 i)^{2} : 70 i + 24

= 70 i + 24

Rewrite in standard complex form:

24 + 70 i

= 24 + 70 i

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Frequently Asked Questions (FAQ)

What is (7+5i)^2 ?
The solution to (7+5i)^2 is 24+70i