What is factor 1/4 x^2-1/9 y^2 ?

The solution to factor 1/4 x^2-1/9 y^2 is (1/2 x+1/3 y)(1/2 x-1/3 y)

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factor 1/4 x^2-1/9 y^2

factor

\frac{1}{4} x^{2} - \frac{1}{9} y^{2}

(\frac{1}{2} x + \frac{1}{3} y) (\frac{1}{2} x - \frac{1}{3} y)

Solution steps

\frac{1}{4} x^{2} - \frac{1}{9} y^{2}

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

\frac{1}{9} y^{2} = (\frac{1}{3} y)^{2}

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(\frac{1}{2} x)^{2} - (\frac{1}{3} y)^{2} = (\frac{1}{2} x + \frac{1}{3} y) (\frac{1}{2} x - \frac{1}{3} y)

= (\frac{1}{2} x + \frac{1}{3} y) (\frac{1}{2} x - \frac{1}{3} y)

22 \cdot 2

1.5 x^{2} + 15 x - 62.2 = 0

6 x - 3 < 3

\frac{( \frac{a}{b} )}{c} \cdot \frac{a}{( \frac{b}{c} )}

0 \leq x < 2

What is factor 1/4 x^2-1/9 y^2 ?
The solution to factor 1/4 x^2-1/9 y^2 is (1/2 x+1/3 y)(1/2 x-1/3 y)