What is (x^2+3x+2)/(x^2+2x+1) ?

The solution to (x^2+3x+2)/(x^2+2x+1) is (x+2)/(x+1)

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simplify (x^2+3x+2)/(x^2+2x+1)

simplify

\frac{x ^{2} + 3 x + 2}{x ^{2} + 2 x + 1}

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

Solution steps

\frac{x ^{2} + 3 x + 2}{x ^{2} + 2 x + 1}

Factor

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

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Cancel the common factor:

x + 1

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

26 \times 2

3 \frac{1}{2} + \frac{1}{5} + \frac{- 3}{4}

lo g_{10} (2) (64)

2^{l o g_{4} (n)}

x \times \frac{1}{2}

What is (x^2+3x+2)/(x^2+2x+1) ?
The solution to (x^2+3x+2)/(x^2+2x+1) is (x+2)/(x+1)