What is factor x^2+2x+7x+14 ?

The solution to factor x^2+2x+7x+14 is (x+2)(x+7)

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factor x^2+2x+7x+14

factor

x^{2} + 2 x + 7 x + 14

(x + 2) (x + 7)

Solution steps

x^{2} + 2 x + 7 x + 14

Add similar elements:

2 x + 7 x = 9 x

= x^{2} + 9 x + 14

Break the expression into groups

= (x^{2} + 2 x) + (7 x + 14)

Factor out

x

from

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

Factor out

7

from

7 x + 14 : 7 (x + 2)

= x (x + 2) + 7 (x + 2)

Factor out common term

x + 2

= (x + 2) (x + 7)

\frac{1}{8} - \frac{1}{9}

1 3^{2} + x^{2} = 1 5^{2}

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

(x - 3) (x + 5) = 9

\frac{x - 7}{4} = - 2