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

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

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

simplify

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

2 a^{2} + 2 a a^{2} - 4 - 4

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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