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

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

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simplify (4sqrt(x)+1)^2

simplify

(4 x + 1)^{2}

16 x + 8 x + 1

Solution steps

(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 \cdot 4 x \cdot 1 + 1^{2}

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

(4 x)^{2} = 16 x

2 \cdot 4 x \cdot 1 = 8 x

1^{2} = 1

= 16 x + 8 x + 1

(\frac{1}{4} m - 2 n)^{2}

(- 8, - 2) y (2, 18)

A (- 4, - 3) y B (4, 1)

- 4 x^{2} (x^{3} - \frac{3 x}{2} + \frac{5}{12})