What is (-b+sqrt(b^2-4ac))^2 ?

The solution to (-b+sqrt(b^2-4ac))^2 is 2b^2-2bsqrt(b^2-4ac)-4ac

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simplify (-b+sqrt(b^2-4ac))^2

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{x}{( x ^{2} + k ) ( x ^{2} + b x + c )}

2 + \frac{2 ( 5 x ^{2} - 14 x + 9 )}{8}

y^{'} (x) + x (y^{'} (x) + x)

\frac{- s ^{2} + 36}{( s ^{2} + 36 ) ^{2}}

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

What is (-b+sqrt(b^2-4ac))^2 ?
The solution to (-b+sqrt(b^2-4ac))^2 is 2b^2-2bsqrt(b^2-4ac)-4ac