What is (sqrt(3x+3)-1)^2 ?

The solution to (sqrt(3x+3)-1)^2 is 3x-2sqrt(3x+3)+4

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simplify (sqrt(3x+3)-1)^2

simplify

(3 x + 3 - 1)^{2}

3 x - 2 3 x + 3 + 4

Solution steps

(3 x + 3 - 1)^{2}

Apply Perfect Square Formula:

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

(3 x + 3 - 1)^{2} = (3 x + 3)^{2} - 2 3 x + 3 \cdot 1 + 1^{2}

= (3 x + 3)^{2} - 2 3 x + 3 \cdot 1 + 1^{2}

Simplify

(3 x + 3)^{2} - 2 3 x + 3 \cdot 1 + 1^{2} : 3 x - 2 3 x + 3 + 4

= 3 x - 2 3 x + 3 + 4

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

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

\frac{0 , 7}{1 - 0 , 7} (1 - 0. 7^{10})

\frac{d}{d x} ((P (x)) (x (36 - x)^{2}))