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Popular >

simplify (4+5yi)^2

Solution

simplify

(4 + 5 y i)^{2}

Solution

(16 - 25 y^{2}) + 40 y i

Solution steps

(4 + 5 y i)^{2}

Apply Perfect Square Formula:

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

(4 + 5 y i)^{2} = 4^{2} + 2 \cdot 4 \cdot 5 y i + (5 y i)^{2}

= 4^{2} + 2 \cdot 4 \cdot 5 y i + (5 y i)^{2}

4^{2} = 16

2 \cdot 4 \cdot 5 y i = 40 y i

(5 y i)^{2} = - 25 y^{2}

= 16 + 40 y i - 25 y^{2}

Rewrite in standard complex form:

(16 - 25 y^{2}) + 40 y i

= (16 - 25 y^{2}) + 40 y i

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Frequently Asked Questions (FAQ)

What is (4+5yi)^2 ?
The solution to (4+5yi)^2 is (16-25y^2)+40yi