What is (2sqrt(x)+5)^2 ?

The solution to (2sqrt(x)+5)^2 is 4x+20sqrt(x)+25

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simplify (2sqrt(x)+5)^2

simplify

(2 x + 5)^{2}

4 x + 20 x + 25

Solution steps

(2 x + 5)^{2}

Apply Perfect Square Formula:

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

(2 x + 5)^{2} = (2 x)^{2} + 2 \cdot 2 x \cdot 5 + 5^{2}

= (2 x)^{2} + 2 \cdot 2 x \cdot 5 + 5^{2}

(2 x)^{2} = 4 x

2 \cdot 2 x \cdot 5 = 20 x

5^{2} = 25

= 4 x + 20 x + 25

x (x + 3)^{2}

22 (33 + 57)

- \frac{d}{d x} ((b + 2 c m) \cdot e^{- y x})

(x^{\frac{3}{4}} + y^{\frac{1}{2}})^{2}

(x^{3} + 2 x) e^{x}