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Popular >

simplify (4x-i)^2

Solution

simplify

(4 x - i)^{2}

Solution

(16 x^{2} - 1) - 8 x i

Solution steps

(4 x - i)^{2}

Apply Perfect Square Formula:

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

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

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

(4 x)^{2} = 16 x^{2}

- 2 \cdot 4 x i = - 8 x i

i^{2} = - 1

= 16 x^{2} - 8 x i - 1

Rewrite in standard complex form:

(16 x^{2} - 1) - 8 x i

= (16 x^{2} - 1) - 8 x i

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Frequently Asked Questions (FAQ)

What is (4x-i)^2 ?
The solution to (4x-i)^2 is (16x^2-1)-8xi