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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(3 + \frac{x}{2})^{5}

- x + h - 3 (3 x^{2} - 2 x)

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

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

cos (t - 1) U (t - 1)

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