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Popular >

expand (4n+5)^2

Solution

expand

(4 n + 5)^{2}

Solution

16 n^{2} + 40 n + 25

Solution steps

(4 n + 5)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(4 n)^{2} + 2 \cdot 4 n \cdot 5 + 5^{2} : 16 n^{2} + 40 n + 25

= 16 n^{2} + 40 n + 25

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Frequently Asked Questions (FAQ)

What is expand (4n+5)^2 ?
The solution to expand (4n+5)^2 is 16n^2+40n+25