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

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

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

simplify

(4 + 3 x)^{2}

16 + 24 x + 9 x

Solution steps

(4 + 3 x)^{2}

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}

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

4^{2} = 16

2 \cdot 4 \cdot 3 x = 24 x

(3 x)^{2} = 9 x

= 16 + 24 x + 9 x

\frac{1}{s ( RC s + 1 )}

ln (\frac{x - 78}{x})

(t^{2} - 1) i + t j

\frac{1}{( z - 1 ) ^{2}}