What is (sqrt(x-9)+1)^2 ?

The solution to (sqrt(x-9)+1)^2 is x+2sqrt(x-9)-8

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simplify (sqrt(x-9)+1)^2

simplify

(x - 9 + 1)^{2}

x + 2 x - 9 - 8

Solution steps

(x - 9 + 1)^{2}

Apply Perfect Square Formula:

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

(x - 9 + 1)^{2} = (x - 9)^{2} + 2 x - 9 \cdot 1 + 1^{2}

= (x - 9)^{2} + 2 x - 9 \cdot 1 + 1^{2}

Simplify

(x - 9)^{2} + 2 x - 9 \cdot 1 + 1^{2} : x + 2 x - 9 - 8

= x + 2 x - 9 - 8

\frac{π ( 9 - h ^{2} ) ( h + 3 )}{3}

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

lo g_{10} (10) x^{2}

t (1 - cos (t))

(3 x y - 2 y^{2}) d x + (2 x^{2} - 3 x y) d y