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

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

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

simplify

(1 + x - 3)^{2}

x + 2 x - 3 - 2

Solution steps

(1 + x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x + 2 x - 3 - 2

\frac{1}{x ( n - x )}

π r (g + r)

(x - 3 - 4)^{2}

\frac{s ^{2} ( s ^{3} + 2 s + 1 )}{s ^{5} + 3 s ^{4} + 2 s + 12}

(x - 7) (x + 7)