What is (3x^2+9x+6)/((x+2)(3x+3)) ?

The solution to (3x^2+9x+6)/((x+2)(3x+3)) is 1

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simplify (3x^2+9x+6)/((x+2)(3x+3))

simplify

\frac{3 x ^{2} + 9 x + 6}{( x + 2 ) ( 3 x + 3 )}

1

Solution steps

\frac{3 x ^{2} + 9 x + 6}{( x + 2 ) ( 3 x + 3 )}

Factor

3 x^{2} + 9 x + 6 : 3 (x^{2} + 3 x + 2)

= \frac{3 ( x ^{2} + 3 x + 2 )}{( x + 2 ) ( 3 x + 3 )}

Factor

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

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

Cancel the common factor:

x + 2

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

Factor

3 x + 3 : 3 (x + 1)

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

Apply the fraction rule:

\frac{a}{a} = 1

= 1

55 + 9

\frac{- 36}{- 4}

\frac{3}{8} d + \frac{3}{4}

5476

\frac{tan ( x )}{sin ( 2 x )}

What is (3x^2+9x+6)/((x+2)(3x+3)) ?
The solution to (3x^2+9x+6)/((x+2)(3x+3)) is 1