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Popular >

expand (b+4a)^2

Solution

expand

(b + 4 a)^{2}

Solution

b^{2} + 8 ba + 16 a^{2}

Solution steps

(b + 4 a)^{2}

Apply Perfect Square Formula:

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

(b + 4 a)^{2} = b^{2} + 2 b \cdot 4 a + (4 a)^{2}

= b^{2} + 2 b \cdot 4 a + (4 a)^{2}

Simplify

b^{2} + 2 b \cdot 4 a + (4 a)^{2} : b^{2} + 8 ba + 16 a^{2}

= b^{2} + 8 ba + 16 a^{2}

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Frequently Asked Questions (FAQ)

What is expand (b+4a)^2 ?
The solution to expand (b+4a)^2 is b^2+8ba+16a^2