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

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

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

simplify

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

2 a^{2} - 4 c - 2 a a^{2} - 4 c

Solution steps

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

Apply rule:

- (a) = - a

- (a) = - a

= (- a + a^{2} - 4 c)^{2}

Apply Perfect Square Formula:

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

(- a + a^{2} - 4 c)^{2} = (- a)^{2} + 2 (- a) a^{2} - 4 c + (a^{2} - 4 c)^{2}

= (- a)^{2} + 2 (- a) a^{2} - 4 c + (a^{2} - 4 c)^{2}

Simplify

(- a)^{2} + 2 (- a) a^{2} - 4 c + (a^{2} - 4 c)^{2} : 2 a^{2} - 4 c - 2 a a^{2} - 4 c

= 2 a^{2} - 4 c - 2 a a^{2} - 4 c

[(t) cos (4 t) U (t - (\frac{π}{4}))]

\frac{1}{( 1 - 3 x ) ^{3}}

3 (3 x^{2} + 2 x - 6)^{2}

(q + r^{2} - y^{2})^{2}

\frac{k}{s ( s + 2 )}

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