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

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

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

simplify

(x - 1 + 2)^{2}

x + 4 x - 1 + 3

Solution steps

(x - 1 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x + 4 x - 1 + 3

(0.34 arcsin (\frac{- x + 3.14}{1.35}) + 2.38)^{2}

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

2^{5}

sin^{2} (t) - cos^{2} (t)

(8 - r^{2}) d r