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Popular >

simplify (4+ix)^2

Solution

simplify

(4 + i x)^{2}

Solution

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

Solution steps

(4 + i x)^{2}

Apply Perfect Square Formula:

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

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

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

4^{2} = 16

2 \cdot 4 i x = 8 x i

(i x)^{2} = - x^{2}

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

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