Question

factorise 4x2 + 4xy + y2 - 6x - 3y​

Answer 1

Step-by-step explanation:

4

x

2

+

4

x

y

−

y

2

−

6

x

−

3

y

−

4

=

0

represents two straight lines,

it should be possible to factorize it as

(

a

x

+

b

y

+

c

)

(

l

x

+

m

y

+

n

)

=

0

We can write

4

x

2

+

4

x

y

−

y

2

−

6

x

−

3

y

−

4

=

0

as

4

x

2

+

2

x

(

2

y

−

3

)

−

(

y

2

+

3

y

+

4

)

=

0

If the equation represents a pair of lines, it should be possible to write

x

as one or other of two linear expressions in

x

and

y

and so the square root of discriminant must be rational.

Answer 2

Answer:

8+4xy+y²−6x−3y

I hope that my answer will help you