What is (3/x-x)(3/x+x) ?

The solution to (3/x-x)(3/x+x) is ((-x^2+3)(x^2+3))/(x^2)

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simplify (3/x-x)(3/x+x)

simplify

(\frac{3}{x} - x) (\frac{3}{x} + x)

\frac{( - x ^{2} + 3 ) ( x ^{2} + 3 )}{x ^{2}}

Solution steps

(\frac{3}{x} - x) (\frac{3}{x} + x)

Join

\frac{3}{x} - x : \frac{- x ^{2} + 3}{x}

= \frac{- x ^{2} + 3}{x} (\frac{3}{x} + x)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - x ^{2} + 3 ) ( \frac{3}{x} + x )}{x}

Simplify

(- x^{2} + 3) (\frac{3}{x} + x) : \frac{( - x ^{2} + 3 ) ( x ^{2} + 3 )}{x}

= \frac{\frac{( - x ^{2} + 3 ) ( x ^{2} + 3 )}{x}}{x}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( - x ^{2} + 3 ) ( x ^{2} + 3 )}{xx}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{( - x ^{2} + 3 ) ( x ^{2} + 3 )}{x ^{2}}

(2 x + 1) (3 - 4 x)

x x

(x + \frac{( m - l - t )}{2})^{2}

325 (6 + 2)

lo g_{3} (9.7)

What is (3/x-x)(3/x+x) ?
The solution to (3/x-x)(3/x+x) is ((-x^2+3)(x^2+3))/(x^2)