What is (1+sqrt(1-4a))^2 ?

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

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simplify (1+sqrt(1-4a))^2

simplify

(1 + 1 - 4 a)^{2}

- 4 a + 2 1 - 4 a + 2

Solution steps

(1 + 1 - 4 a)^{2}

Apply Perfect Square Formula:

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

(1 + 1 - 4 a)^{2} = 1^{2} + 2 \cdot 1 \cdot 1 - 4 a + (1 - 4 a)^{2}

= 1^{2} + 2 \cdot 1 \cdot 1 - 4 a + (1 - 4 a)^{2}

Simplify

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

= - 4 a + 2 1 - 4 a + 2

- \frac{1}{x ( x + 4 ) ( x + 5 )}

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

\frac{1}{k ( k + 1 )} + (k + 1)

(2 - 4 i)^{7}

(x + 1) ln (3)

What is (1+sqrt(1-4a))^2 ?
The solution to (1+sqrt(1-4a))^2 is -4a+2sqrt(1-4a)+2