What is factor 2a^2-3ab-5b^2 ?

The solution to factor 2a^2-3ab-5b^2 is (a+b)(2a-5b)

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factor 2a^2-3ab-5b^2

factor

2 a^{2} - 3 ab - 5 b^{2}

(a + b) (2 a - 5 b)

Solution steps

2 a^{2} - 3 ab - 5 b^{2}

Break the expression into groups

= (2 a^{2} + 2 ab) + (- 5 ab - 5 b^{2})

Factor out

2 a

from

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

Factor out

- 5 b

from

- 5 ab - 5 b^{2} : - 5 b (a + b)

= 2 a (a + b) - 5 b (a + b)

Factor out common term

a + b

= (a + b) (2 a - 5 b)

- \frac{5}{4} - 2

x^{2} + 8 x + 12 \geq 0

3 x - 7 = 2 x + 5

x^{4} + 4 x

\frac{x + 1}{3} + \frac{x - 1}{4} > \frac{x - 2}{2}

What is factor 2a^2-3ab-5b^2 ?
The solution to factor 2a^2-3ab-5b^2 is (a+b)(2a-5b)