What is (3x^2-1/(12x^2))^2 ?

The solution to (3x^2-1/(12x^2))^2 is ((36x^4-1)^2)/(144x^4)

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simplify (3x^2-1/(12x^2))^2

simplify

(3 x^{2} - \frac{1}{12 x ^{2}})^{2}

\frac{( 36 x ^{4} - 1 ) ^{2}}{144 x ^{4}}

Solution steps

(3 x^{2} - \frac{1}{12 x ^{2}})^{2}

Join

3 x^{2} - \frac{1}{12 x ^{2}} : \frac{36 x ^{4} - 1}{12 x ^{2}}

= (\frac{36 x ^{4} - 1}{12 x ^{2}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 36 x ^{4} - 1 ) ^{2}}{( 12 x ^{2} ) ^{2}}

Simplify

(12 x^{2})^{2} : 144 x^{4}

= \frac{( 36 x ^{4} - 1 ) ^{2}}{144 x ^{4}}

20 0^{- 1} \cdot 100 + 10 0^{- 1} \cdot 200

x^{2} - 24 x + 80

(x^{2} - 3 y^{2})^{2}

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

What is (3x^2-1/(12x^2))^2 ?
The solution to (3x^2-1/(12x^2))^2 is ((36x^4-1)^2)/(144x^4)