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

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

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

simplify

(3 + 5 x)^{2}

9 + 30 x + 25 x

Solution steps

(3 + 5 x)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

2 \cdot 3 \cdot 5 x = 30 x

(5 x)^{2} = 25 x

= 9 + 30 x + 25 x

(- x sin (x) + cos (x))^{2}

(sin (x) - sin (y))^{2} + (cos (x) - cos (y))^{2} - 2

(8, - 5) y (- 3, 9)

- \frac{2 x + 2}{( x ^{2} + 2 x - 2 ) ^{2}}

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