What is (x^2+11x+28)/(x^2+10x+21) ?

The solution to (x^2+11x+28)/(x^2+10x+21) is (x+4)/(x+3)

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simplify (x^2+11x+28)/(x^2+10x+21)

simplify

\frac{x ^{2} + 11 x + 28}{x ^{2} + 10 x + 21}

\frac{x + 4}{x + 3}

Solution steps

\frac{x ^{2} + 11 x + 28}{x ^{2} + 10 x + 21}

Factor

x^{2} + 11 x + 28 : (x + 4) (x + 7)

= \frac{( x + 4 ) ( x + 7 )}{x ^{2} + 10 x + 21}

Factor

x^{2} + 10 x + 21 : (x + 3) (x + 7)

= \frac{( x + 4 ) ( x + 7 )}{( x + 3 ) ( x + 7 )}

Cancel the common factor:

x + 7

= \frac{x + 4}{x + 3}

\frac{3 2}{4}

\frac{3}{5} - \frac{3}{8}

\frac{- 7}{4}

\frac{- 7}{5}

\frac{x ^{2} - 36}{4 x ^{2} - 16 x - 48}

What is (x^2+11x+28)/(x^2+10x+21) ?
The solution to (x^2+11x+28)/(x^2+10x+21) is (x+4)/(x+3)