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Popular >

simplify (4z-3i)^2

Solution

simplify

(4 z - 3 i)^{2}

Solution

(16 z^{2} - 9) - 24 z i

Solution steps

(4 z - 3 i)^{2}

Apply Perfect Square Formula:

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

(4 z - 3 i)^{2} = (4 z)^{2} - 2 \cdot 4 z \cdot 3 i + (3 i)^{2}

= (4 z)^{2} - 2 \cdot 4 z \cdot 3 i + (3 i)^{2}

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

- 2 \cdot 4 z \cdot 3 i = - 24 z i

(3 i)^{2} = - 9

= 16 z^{2} - 24 z i - 9

Rewrite in standard complex form:

(16 z^{2} - 9) - 24 z i

= (16 z^{2} - 9) - 24 z i

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Frequently Asked Questions (FAQ)

What is (4z-3i)^2 ?
The solution to (4z-3i)^2 is (16z^2-9)-24zi