What is factor 10x^2-19xy+7y^2 ?

The solution to factor 10x^2-19xy+7y^2 is (2x-y)(5x-7y)

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factor 10x^2-19xy+7y^2

factor

10 x^{2} - 19 x y + 7 y^{2}

(2 x - y) (5 x - 7 y)

Solution steps

10 x^{2} - 19 x y + 7 y^{2}

Break the expression into groups

= (10 x^{2} - 5 x y) + (- 14 x y + 7 y^{2})

Factor out

5 x

from

10 x^{2} - 5 x y : 5 x (2 x - y)

Factor out

- 7 y

from

- 14 x y + 7 y^{2} : - 7 y (2 x - y)

= 5 x (2 x - y) - 7 y (2 x - y)

Factor out common term

2 x - y

= (2 x - y) (5 x - 7 y)

3 \cdot 28

5 x - 3 (3 x - (3 - 2 x)) \geq 2 (3 x - 4 (5 - x))

\frac{1}{8} + \frac{1}{9}

x^{3} + 9 x^{2} + 16 x - 6

64 y^{3} + 1

What is factor 10x^2-19xy+7y^2 ?
The solution to factor 10x^2-19xy+7y^2 is (2x-y)(5x-7y)