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Popular >

expand (mn+8a)^2

Solution

expand

(mn + 8 a)^{2}

Solution

m^{2} n^{2} + 16 mna + 64 a^{2}

Solution steps

(mn + 8 a)^{2}

Apply Perfect Square Formula:

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

(mn + 8 a)^{2} = (mn)^{2} + 2 mn \cdot 8 a + (8 a)^{2}

= (mn)^{2} + 2 mn \cdot 8 a + (8 a)^{2}

Simplify

(mn)^{2} + 2 mn \cdot 8 a + (8 a)^{2} : m^{2} n^{2} + 16 mna + 64 a^{2}

= m^{2} n^{2} + 16 mna + 64 a^{2}

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Frequently Asked Questions (FAQ)

What is expand (mn+8a)^2 ?
The solution to expand (mn+8a)^2 is m^2n^2+16mna+64a^2