What is ((2x^2+10x+12))/((x+3)) ?

The solution to ((2x^2+10x+12))/((x+3)) is 2x+4

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simplify ((2x^2+10x+12))/((x+3))

simplify

\frac{( 2 x ^{2} + 10 x + 12 )}{( x + 3 )}

2 x + 4

Solution steps

\frac{2 x ^{2} + 10 x + 12}{x + 3}

Factor

2 x^{2} + 10 x + 12 : 2 (x^{2} + 5 x + 6)

= \frac{2 ( x ^{2} + 5 x + 6 )}{x + 3}

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

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

Cancel the common factor:

x + 3

= 2 (x + 2)

Expand

2 (x + 2) : 2 x + 4

= 2 x + 4

4 (6)

4 + 2 x

2.5 w - 3 y + 4 w

3 y + y

5^{l o g_{5} (x)}

What is ((2x^2+10x+12))/((x+3)) ?
The solution to ((2x^2+10x+12))/((x+3)) is 2x+4