What is ((x^2-sqrt(x))(sqrt(x)+1))/(x-1) ?

The solution to ((x^2-sqrt(x))(sqrt(x)+1))/(x-1) is (x^2sqrt(x)+x^2-x-sqrt(x))/(x-1)

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simplify ((x^2-sqrt(x))(sqrt(x)+1))/(x-1)

simplify

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

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

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

(x^{2} - x) (x + 1) = x^{2} x + x^{2} \cdot 1 - x x - x \cdot 1

= \frac{x ^{2} x + x ^{2} \cdot 1 - x x - x \cdot 1}{x - 1}

Simplify

x^{2} x + x^{2} \cdot 1 - x x - x \cdot 1 : x^{2} x + x^{2} - x - x

= \frac{x ^{2} x + x ^{2} - x - x}{x - 1}

(x - \frac{15}{4})^{2}

(2 + i) (1 + 2 i, 3 - i)

a [x^{2} + (- r - s) x + rs]

x sin (\frac{πn x}{L}) (L - x)

A (- 2, - 3) y B (4, 2)

What is ((x^2-sqrt(x))(sqrt(x)+1))/(x-1) ?
The solution to ((x^2-sqrt(x))(sqrt(x)+1))/(x-1) is (x^2sqrt(x)+x^2-x-sqrt(x))/(x-1)