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Popular >

expand (x^2y''(x)+xy'(x)-y(x+1)+1)/((x+1)x^2)

Solution

expand

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

Solution

\frac{x ^{2} y '' ( x ) + x y ' ( x ) - x y - y + 1}{x ^{3} + x ^{2}}

Solution steps

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

Expand

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

= \frac{x ^{2} y ^{''} ( x ) + x y ^{'} ( x ) - y ( x + 1 ) + 1}{x ^{3} + x ^{2}}

Expand

x^{2} y^{''} (x) + x y^{'} (x) - y (x + 1) + 1 : x^{2} y^{''} (x) + x y^{'} (x) - x y - y + 1

= \frac{x ^{2} y ^{''} ( x ) + x y ^{'} ( x ) - x y - y + 1}{x ^{3} + x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (x^2y''(x)+xy'(x)-y(x+1)+1)/((x+1)x^2) ?
The solution to expand (x^2y''(x)+xy'(x)-y(x+1)+1)/((x+1)x^2) is (x^2y''(x)+xy'(x)-xy-y+1)/(x^3+x^2)