What is expand (1/2 x-2/3 y)(1/2 x+2/3 y) ?

The solution to expand (1/2 x-2/3 y)(1/2 x+2/3 y) is (9x^2-16y^2)/(36)

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expand (1/2 x-2/3 y)(1/2 x+2/3 y)

expand

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

\frac{9 x ^{2} - 16 y ^{2}}{36}

Solution steps

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

Apply Difference of Two Squares

(\frac{1}{2} x - \frac{2}{3} y) (\frac{1}{2} x + \frac{2}{3} y) : \frac{9 x ^{2} - 16 y ^{2}}{36}

= \frac{9 x ^{2} - 16 y ^{2}}{36}

(x - 52)^{2}

(1 - \frac{x}{2})^{8}

\frac{x + 1}{( x ^{2} + 1 ) ^{2} ( x ^{2} + x + 1 )}

(x^{2} - 5) (x^{2} + 5)

What is expand (1/2 x-2/3 y)(1/2 x+2/3 y) ?
The solution to expand (1/2 x-2/3 y)(1/2 x+2/3 y) is (9x^2-16y^2)/(36)