What is (5+3sqrt(x))^2 ?

The solution to (5+3sqrt(x))^2 is 25+30sqrt(x)+9x

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simplify (5+3sqrt(x))^2

simplify

(5 + 3 x)^{2}

25 + 30 x + 9 x

Solution steps

(5 + 3 x)^{2}

Apply Perfect Square Formula:

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

(5 + 3 x)^{2} = 5^{2} + 2 \cdot 5 \cdot 3 x + (3 x)^{2}

= 5^{2} + 2 \cdot 5 \cdot 3 x + (3 x)^{2}

5^{2} = 25

2 \cdot 5 \cdot 3 x = 30 x

(3 x)^{2} = 9 x

= 25 + 30 x + 9 x

x (x^{4} e^{6 x} + 3)

e^{x} (e^{x} + e^{y})

(a + 10) (a - 10)

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

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