What is factor a^2-5ab+6b^2 ?

The solution to factor a^2-5ab+6b^2 is (a-2b)(a-3b)

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factor a^2-5ab+6b^2

factor

a^{2} - 5 ab + 6 b^{2}

(a - 2 b) (a - 3 b)

Solution steps

a^{2} - 5 ab + 6 b^{2}

Break the expression into groups

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

Factor out

a

from

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

Factor out

- 3 b

from

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

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

Factor out common term

a - 2 b

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

x^{2} + 16 x + 61 = 0

\frac{8}{x ^{2} + 1} \geq 4

6 (5 x - 3) \leq 36 x

a^{2} - 12 a + 35 = 0

3 x - 1 \leq \frac{7}{2} x < 12 x + 2

What is factor a^2-5ab+6b^2 ?
The solution to factor a^2-5ab+6b^2 is (a-2b)(a-3b)