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Popular >

simplify (7+i)^2

Solution

simplify

(7 + i)^{2}

Solution

48 + 14 i

Solution steps

(7 + i)^{2}

Apply Perfect Square Formula:

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

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

= 7^{2} + 2 \cdot 7 i + i^{2}

Simplify

7^{2} + 2 \cdot 7 i + i^{2} : 14 i + 48

= 14 i + 48

Rewrite in standard complex form:

48 + 14 i

= 48 + 14 i

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Frequently Asked Questions (FAQ)

What is (7+i)^2 ?
The solution to (7+i)^2 is 48+14i