What is p(x)(x+2)/(x^2+x) ?

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

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simplify p(x)(x+2)/(x^2+x)

simplify

p (x) \frac{x + 2}{x ^{2} + x}

\frac{p ( x + 2 )}{x + 1}

Solution steps

p (x) \frac{x + 2}{x ^{2} + x}

Apply rule:

(a) = a

(x) = x

= p x \frac{x + 2}{x ^{2} + x}

Apply the fraction rule:

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

= \frac{p x ( x + 2 )}{x ^{2} + x}

Factor

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

= \frac{p x ( x + 2 )}{x ( x + 1 )}

Cancel the common factor:

x

= \frac{p ( x + 2 )}{x + 1}

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

2 x^{2} + 11 x + 5

x^{3} + 14 x^{2} + 49 x

3 x - 7 = - 10

\frac{x - 3}{2} - 4 = 2