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Popular >

expand (1+x/(1+x/y))(x+y)

Solution

expand

(1 + \frac{x}{1 + \frac{x}{y}}) (x + y)

Solution

x + y + x y

Solution steps

(1 + \frac{x}{1 + \frac{x}{y}}) (x + y)

Apply FOIL method

(1 + \frac{x}{1 + \frac{x}{y}}) (x + y) : x + y + x y

= x + y + x y

Popular Examples

expand (sqrt(3)(9-y))/2 expand

\frac{3 ( 9 - y )}{2}

expand (cos^2(x))/((1+sin(x))^2)expand

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

expand (-s^3+2s^2+1)/(s^2(s^2+1))expand

\frac{- s ^{3} + 2 s ^{2} + 1}{s ^{2} ( s ^{2} + 1 )}

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

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

expand 2/3 (-1+Δx)expand

\frac{2}{3} (- 1 + Δ x)

Frequently Asked Questions (FAQ)

What is expand (1+x/(1+x/y))(x+y) ?
The solution to expand (1+x/(1+x/y))(x+y) is x+y+xy