What is factor a^2+14a+45 ?

The solution to factor a^2+14a+45 is (a+5)(a+9)

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factor a^2+14a+45

factor

a^{2} + 14 a + 45

(a + 5) (a + 9)

Solution steps

a^{2} + 14 a + 45

Break the expression into groups

= (a^{2} + 5 a) + (9 a + 45)

Factor out

a

from

a^{2} + 5 a : a (a + 5)

Factor out

9

from

9 a + 45 : 9 (a + 5)

= a (a + 5) + 9 (a + 5)

Factor out common term

a + 5

= (a + 5) (a + 9)

5 - 4 x \geq 3 x - 9

11 x^{2} + 100 x - 100

34 3^{- \frac{1}{3}}

(- 81)^{- \frac{1}{2}}

x^{3} \geq 8 x^{2}