Question

How do you factor `3x ^ { 2} - 6x y - 72y ^ { 2}`?

Answer 1

`3(x-6y)(x+4y)`

Explanation:

Here,
`3x^2-6xy-72y^2=color(red)(3)(x^2-2xy-24y^2)=3(x^2color(red)(-6xy+4xy)-24y^2)=3[xcolor(blue)((x-6y))+4ycolor(blue)((x-6y))]=3(x-6y)(x+4y)`