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Popular >

simplify (8+i)^2

Solution

simplify

(8 + i)^{2}

Solution

63 + 16 i

Solution steps

(8 + i)^{2}

Apply Perfect Square Formula:

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

(8 + i)^{2} = 8^{2} + 2 \cdot 8 i + i^{2}

= 8^{2} + 2 \cdot 8 i + i^{2}

Simplify

8^{2} + 2 \cdot 8 i + i^{2} : 16 i + 63

= 16 i + 63

Rewrite in standard complex form:

63 + 16 i

= 63 + 16 i

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Frequently Asked Questions (FAQ)

What is (8+i)^2 ?
The solution to (8+i)^2 is 63+16i