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

The solution to (3+sqrt(y-1))^2 is y+6sqrt(y-1)+8

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

simplify

(3 + y - 1)^{2}

y + 6 y - 1 + 8

Solution steps

(3 + y - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} + 2 \cdot 3 y - 1 + (y - 1)^{2} : y + 6 y - 1 + 8

= y + 6 y - 1 + 8

(1 - k) - 1

\frac{k ^{2} - a - 6}{( k ^{2} + 2 k ) ( k - 3 )}

\frac{4 x ^{2} + 23 x - 15}{x ( x ^{2} - 2 x - 15 )}

6 (10 + 5)

- 2 (- 1 + 3) (1 + 2)