Question

6x^2-13xy+6b^2
Factor completely and explain steps

Answer 1

6x^2-13xy+6b^2
=6x^2-9xy-4xy+6y^2
=3x(2x-3y)-2y(2x-3y)
=(3x-2y)(2x-3y)

Answer 2

is the last term really 6 b^2 ? or is it 6 y^2 ?

Answer 3

it's 6y^2. Sorry for the typo.

Answer 4

First get the product of a and c and then find the factors of 36 will give you the sum of -13
product of a & c 6 * 6 = 36
Now find factors of 36 that gives us the sum of -13
-9 + -4 = -13
Now we solve by grouping.
6x^2-13xy+6b^2
Take out the -13xy and replace it with our two numbers -9xy and -4xy

6x^2-9xy-4xy+6y^2

Now Group

(6x^2-9xy) (-4xy+6y^2)

Find the factor for the first group
(6x^2-9xy)/3x
3x(2x-3y)

Find the factor for the second group
(-4xy+6y^2)/2y
-2y(2x-3y)

Put it together
3x(2x-3y) -2y(2x-3y)
(3x-2y)(2x-3y)