What is (14x+21)/(21x+7) ?

The solution to (14x+21)/(21x+7) is (2x+3)/(3x+1)

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simplify (14x+21)/(21x+7)

simplify

\frac{14 x + 21}{21 x + 7}

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

Solution steps

\frac{14 x + 21}{21 x + 7}

Factor

14 x + 21 : 7 (2 x + 3)

= \frac{7 ( 2 x + 3 )}{21 x + 7}

Factor

21 x + 7 : 7 (3 x + 1)

= \frac{7 ( 2 x + 3 )}{7 ( 3 x + 1 )}

Cancel the common factor:

7

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

\frac{10 !}{( 10 - 6 ) ! 6 !}

(x + 2) (x^{2} - 2 x + 4) + (x - 2) (x^{2} + 2 x + 4)

\frac{8}{4}

\frac{3 x ^{3}}{x ^{3}}

\frac{81}{27}