What is expand ((5x)/6-(4y)/3)^2 ?

The solution to expand ((5x)/6-(4y)/3)^2 is (25x^2-80xy+64y^2)/(36)

Popular >

expand ((5x)/6-(4y)/3)^2

expand

(\frac{5 x}{6} - \frac{4 y}{3})^{2}

\frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

Solution steps

(\frac{5 x}{6} - \frac{4 y}{3})^{2}

Apply Perfect Square Formula:

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

(\frac{5 x}{6} - \frac{4 y}{3})^{2} = (\frac{5 x}{6})^{2} - 2 \cdot \frac{5 x}{6} \cdot \frac{4 y}{3} + (\frac{4 y}{3})^{2}

= (\frac{5 x}{6})^{2} - 2 \cdot \frac{5 x}{6} \cdot \frac{4 y}{3} + (\frac{4 y}{3})^{2}

Simplify

(\frac{5 x}{6})^{2} - 2 \cdot \frac{5 x}{6} \cdot \frac{4 y}{3} + (\frac{4 y}{3})^{2} : \frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

= \frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

(m + 5, n - 6) y (11, 3)

\frac{( ( x + h ) ^{n} - x ^{n} )}{h}

t (e^{- 3 t} - t^{2} + 1)

\frac{d x}{( 4 + x ^{2} ) ^{2}}

(1 + 3 cos (x))^{2}

What is expand ((5x)/6-(4y)/3)^2 ?
The solution to expand ((5x)/6-(4y)/3)^2 is (25x^2-80xy+64y^2)/(36)