What is factor x^2+10x+9 ?

The solution to factor x^2+10x+9 is (x+1)(x+9)

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factor x^2+10x+9

factor

x^{2} + 10 x + 9

(x + 1) (x + 9)

Solution steps

x^{2} + 10 x + 9

Break the expression into groups

= (x^{2} + x) + (9 x + 9)

Factor out

x

from

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

Factor out

9

from

9 x + 9 : 9 (x + 1)

= x (x + 1) + 9 (x + 1)

Factor out common term

x + 1

= (x + 1) (x + 9)

3 x^{2} + 8 x + 5

\frac{3}{8} \times \frac{5}{6}

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