What is factor 2a^2+13a+15 ?

The solution to factor 2a^2+13a+15 is (2a+3)(a+5)

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factor 2a^2+13a+15

factor

2 a^{2} + 13 a + 15

(2 a + 3) (a + 5)

Solution steps

2 a^{2} + 13 a + 15

Break the expression into groups

= (2 a^{2} + 3 a) + (10 a + 15)

Factor out

a

from

2 a^{2} + 3 a : a (2 a + 3)

Factor out

5

from

10 a + 15 : 5 (2 a + 3)

= a (2 a + 3) + 5 (2 a + 3)

Factor out common term

2 a + 3

= (2 a + 3) (a + 5)

x^{2} + (x + 7)^{2} = 1 7^{2}

x^{4} - 7 x^{2} - 18

2 x^{2} - 16 x + 30

- 16 = 3 (- 2) + b

5 x^{2} + 26 x + 24