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

The solution to expand (3/5 x-4/5 y)^2 is (9x^2-24xy+16y^2)/(25)

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

expand

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

\frac{9 x ^{2} - 24 x y + 16 y ^{2}}{25}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(\frac{3}{5} x)^{2} - 2 \cdot \frac{3}{5} x \frac{4}{5} y + (\frac{4}{5} y)^{2} : \frac{9 x ^{2} - 24 x y + 16 y ^{2}}{25}

= \frac{9 x ^{2} - 24 x y + 16 y ^{2}}{25}

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

(x - 2 y + 4) d x - (3 x - 6 y + 9) d y

\frac{12}{5 ( x - 2 )}

(e^{t} + 2)^{2}

(3 x^{2} - y)^{9}

What is expand (3/5 x-4/5 y)^2 ?
The solution to expand (3/5 x-4/5 y)^2 is (9x^2-24xy+16y^2)/(25)