What is (a^2b-sqrt(3))^2 ?

The solution to (a^2b-sqrt(3))^2 is a^4b^2-2sqrt(3)a^2b+3

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simplify (a^2b-sqrt(3))^2

simplify

(a^{2} b - 3)^{2}

a^{4} b^{2} - 23 a^{2} b + 3

Solution steps

(a^{2} b - 3)^{2}

Apply Perfect Square Formula:

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

(a^{2} b - 3)^{2} = (a^{2} b)^{2} - 2 a^{2} b 3 + (3)^{2}

= (a^{2} b)^{2} - 2 a^{2} b 3 + (3)^{2}

(a^{2} b)^{2} = a^{4} b^{2}

- 2 a^{2} b 3 = - 23 a^{2} b

(3)^{2} = 3

= a^{4} b^{2} - 23 a^{2} b + 3

\frac{1}{2} (5 + \frac{1}{2} ln (2 + 5))

\frac{1 + x}{1 - 2 x}

x (x + 3 i) (x - 2 i) - x i

\frac{1}{( s - 2 ) ( s - 1 ) ^{2}}

(cos (x) + x sin (x))^{2}

What is (a^2b-sqrt(3))^2 ?
The solution to (a^2b-sqrt(3))^2 is a^4b^2-2sqrt(3)a^2b+3