What is ((4+3sqrt(x))^2)/x ?

The solution to ((4+3sqrt(x))^2)/x is (16+24sqrt(x)+9x)/x

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simplify ((4+3sqrt(x))^2)/x

simplify

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

\frac{16 + 24 x + 9 x}{x}

Solution steps

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

Apply Perfect Square Formula:

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

(4 + 3 x)^{2} = 4^{2} + 2 \cdot 4 \cdot 3 x + (3 x)^{2}

= \frac{4 ^{2} + 2 \cdot 4 \cdot 3 x + ( 3 x ) ^{2}}{x}

Simplify

4^{2} + 2 \cdot 4 \cdot 3 x + (3 x)^{2} : 16 + 24 x + 9 x

= \frac{16 + 24 x + 9 x}{x}

(x + 4) (x + 4 + 2 i) (x - 4 - 2 i)

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

\frac{4 ( a - 1 )}{4 a - 3}

(2 + 7) 3

\frac{( a + 1 ) ^{2}}{( a + 3 ) ( a + 5 )}

What is ((4+3sqrt(x))^2)/x ?
The solution to ((4+3sqrt(x))^2)/x is (16+24sqrt(x)+9x)/x