What is expand ((15x+8y)^2)/(400) ?

The solution to expand ((15x+8y)^2)/(400) is (9x^2}{16}+(3xy)/5+\frac{4y^2)/(25)

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expand ((15x+8y)^2)/(400)

expand

\frac{( 15 x + 8 y ) ^{2}}{400}

\frac{9 x ^{2}}{16} + \frac{3 x y}{5} + \frac{4 y ^{2}}{25}

Solution steps

\frac{( 15 x + 8 y ) ^{2}}{400}

(15 x + 8 y)^{2} = 225 x^{2} + 240 x y + 64 y^{2}

= \frac{225 x ^{2} + 240 x y + 64 y ^{2}}{400}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{225 x ^{2} + 240 x y + 64 y ^{2}}{400} = \frac{225 x ^{2}}{400} + \frac{240 x y}{400} + \frac{64 y ^{2}}{400}

= \frac{225 x ^{2}}{400} + \frac{240 x y}{400} + \frac{64 y ^{2}}{400}

Cancel

\frac{225 x ^{2}}{400} : \frac{9 x ^{2}}{16}

= \frac{9 x ^{2}}{16} + \frac{240 x y}{400} + \frac{64 y ^{2}}{400}

Cancel

\frac{240 x y}{400} : \frac{3 x y}{5}

= \frac{9 x ^{2}}{16} + \frac{3 x y}{5} + \frac{64 y ^{2}}{400}

Cancel

\frac{64 y ^{2}}{400} : \frac{4 y ^{2}}{25}

= \frac{9 x ^{2}}{16} + \frac{3 x y}{5} + \frac{4 y ^{2}}{25}

\frac{s ^{2} + 9 s + 8}{( s + 2 ) ( s ^{2} + 2 )}

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

\frac{10 ( 63 - 4 21 )}{63}

\frac{1 - x - 3 ( 4 x ^{2} + 5 )}{4 x ^{2} + 5}

(a + b) i + (c + d) j + (e + f) k

What is expand ((15x+8y)^2)/(400) ?
The solution to expand ((15x+8y)^2)/(400) is (9x^2}{16}+(3xy)/5+\frac{4y^2)/(25)