What is factor+3x^2-5xy-12y^2 ?

The solution to factor+3x^2-5xy-12y^2 is (3x+4y)(x-3y)

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factor+3x^2-5xy-12y^2

factor

+ 3 x^{2} - 5 x y - 12 y^{2}

(3 x + 4 y) (x - 3 y)

Solution steps

3 x^{2} - 5 x y - 12 y^{2}

Break the expression into groups

= (3 x^{2} + 4 x y) + (- 9 x y - 12 y^{2})

Factor out

x

from

3 x^{2} + 4 x y : x (3 x + 4 y)

Factor out

- 3 y

from

- 9 x y - 12 y^{2} : - 3 y (3 x + 4 y)

= x (3 x + 4 y) - 3 y (3 x + 4 y)

Factor out common term

3 x + 4 y

= (3 x + 4 y) (x - 3 y)

x y \times x y

\frac{3}{2} - \frac{3}{1}

\frac{3}{5} \times \frac{2}{4}

\frac{3}{5} \times \frac{2}{7}

(2 - x)^{7}

What is factor+3x^2-5xy-12y^2 ?
The solution to factor+3x^2-5xy-12y^2 is (3x+4y)(x-3y)