What is expand (1-4sqrt(x))^2 ?

The solution to expand (1-4sqrt(x))^2 is 1-8sqrt(x)+16x

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expand (1-4sqrt(x))^2

expand

(1 - 4 x)^{2}

1 - 8 x + 16 x

Solution steps

(1 - 4 x)^{2}

Apply Perfect Square Formula:

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

(1 - 4 x)^{2} = 1^{2} - 2 \cdot 1 \cdot 4 x + (4 x)^{2}

= 1^{2} - 2 \cdot 1 \cdot 4 x + (4 x)^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot 4 x + (4 x)^{2} : 1 - 8 x + 16 x

= 1 - 8 x + 16 x

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What is expand (1-4sqrt(x))^2 ?
The solution to expand (1-4sqrt(x))^2 is 1-8sqrt(x)+16x