What is factor 3x^2+xy-10y^2 ?

The solution to factor 3x^2+xy-10y^2 is (3x-5y)(x+2y)

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factor 3x^2+xy-10y^2

factor

3 x^{2} + x y - 10 y^{2}

(3 x - 5 y) (x + 2 y)

Solution steps

3 x^{2} + x y - 10 y^{2}

Break the expression into groups

= (3 x^{2} - 5 x y) + (6 x y - 10 y^{2})

Factor out

x

from

3 x^{2} - 5 x y : x (3 x - 5 y)

Factor out

2 y

from

6 x y - 10 y^{2} : 2 y (3 x - 5 y)

= x (3 x - 5 y) + 2 y (3 x - 5 y)

Factor out common term

3 x - 5 y

= (3 x - 5 y) (x + 2 y)

(- 3 a^{2})^{4}

\frac{4 x ^{2} - 4 y ^{2}}{x ^{2} - 3 x y - 4 y ^{2}}

(\frac{2}{3 x + 3 y})^{3}

(x + 2 y)^{3} - 1

16 + 16 cot^{2} (x)

What is factor 3x^2+xy-10y^2 ?
The solution to factor 3x^2+xy-10y^2 is (3x-5y)(x+2y)