What is factor 2a^2-9ab-45b^2 ?

The solution to factor 2a^2-9ab-45b^2 is (a+3b)(2a-15b)

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factor 2a^2-9ab-45b^2

factor

2 a^{2} - 9 ab - 45 b^{2}

(a + 3 b) (2 a - 15 b)

Solution steps

2 a^{2} - 9 ab - 45 b^{2}

Break the expression into groups

= (2 a^{2} + 6 ab) + (- 15 ab - 45 b^{2})

Factor out

2 a

from

2 a^{2} + 6 ab : 2 a (a + 3 b)

Factor out

- 15 b

from

- 15 ab - 45 b^{2} : - 15 b (a + 3 b)

= 2 a (a + 3 b) - 15 b (a + 3 b)

Factor out common term

a + 3 b

= (a + 3 b) (2 a - 15 b)

3 a^{2} - 16 a + 5

\frac{x - 2}{8} \geq \frac{x - 1}{12} + \frac{1}{24}

∣ 2 - x ∣ = 4

- 4 y \geq - 12

x^{2} + 4 x - 94 = 0

What is factor 2a^2-9ab-45b^2 ?
The solution to factor 2a^2-9ab-45b^2 is (a+3b)(2a-15b)