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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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)

2 x^{2} - 9 x = 0

(3 - 7) (3 + 27)

\frac{4 x - 3}{6} - \frac{5 x - 4}{5} = 9

\frac{n}{3} + 4 \geq - 7

3 (x + 7)^{2} = 54

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