What is (k+sqrt(k^2-4p))^2 ?

The solution to (k+sqrt(k^2-4p))^2 is 2k^2-4p+2ksqrt(k^2-4p)

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simplify (k+sqrt(k^2-4p))^2

simplify

(k + k^{2} - 4 p)^{2}

2 k^{2} - 4 p + 2 k k^{2} - 4 p

Solution steps

(k + k^{2} - 4 p)^{2}

Apply Perfect Square Formula:

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

(k + k^{2} - 4 p)^{2} = k^{2} + 2 k k^{2} - 4 p + (k^{2} - 4 p)^{2}

= k^{2} + 2 k k^{2} - 4 p + (k^{2} - 4 p)^{2}

Simplify

k^{2} + 2 k k^{2} - 4 p + (k^{2} - 4 p)^{2} : 2 k^{2} - 4 p + 2 k k^{2} - 4 p

= 2 k^{2} - 4 p + 2 k k^{2} - 4 p

(x - i \cdot y)^{2}

\frac{x ( 1 - 9 x ) ( 3 x + 2 )}{2 ( 3 x + 1 ) ( 3 x - 1 ) ( x + 7 )}

6 (\frac{6}{12} + \frac{8}{12} + \frac{9}{12})

cos (2) (t - \frac{π}{2})

(A e^{t} - B e^{- t})^{2}

What is (k+sqrt(k^2-4p))^2 ?
The solution to (k+sqrt(k^2-4p))^2 is 2k^2-4p+2ksqrt(k^2-4p)