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Popular >

simplify (x+4i)^2

Solution

simplify

(x + 4 i)^{2}

Solution

(x^{2} - 16) + 8 x i

Solution steps

(x + 4 i)^{2}

Apply Perfect Square Formula:

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

(x + 4 i)^{2} = x^{2} + 2 x \cdot 4 i + (4 i)^{2}

= x^{2} + 2 x \cdot 4 i + (4 i)^{2}

2 x \cdot 4 i = 8 x i

(4 i)^{2} = - 16

= x^{2} + 8 x i - 16

Rewrite in standard complex form:

(x^{2} - 16) + 8 x i

= (x^{2} - 16) + 8 x i

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Frequently Asked Questions (FAQ)

What is (x+4i)^2 ?
The solution to (x+4i)^2 is (x^2-16)+8xi