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

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

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

expand

- x + (- 4 x + 1)^{2}

- x + 16 x^{2} - 8 x + 1

Solution steps

- x + (- 4 x + 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - x + 16 x^{2} - 8 x + 1

\frac{3}{s ( s ^{2} + 64 )}

(3 w + 12) (d w - 2 d x)

(1 - t + t i)^{2}

(T - a) (T - c) (T - d) (T - e) (T - f)

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