Question

Factorise: cx-3dx+2cy-6dy

Answer 1

ANSWER

For

dx

dy

+P(x)y=Q(x) where &&P(x),Q(x)$$ are function of x

The integrating factor=e

∫P(x)dx

Here x

dx

dy

−y=x

3

dx

dy

−

x

y

=x

2

P(x)=−

x

1

Integrating Factor =e

∫−

x

1

dx

=e

−lnx

=e

lnx

−1

=e

ln

x

1

=

x

1

Answer 2

Step-by-step explanation:

cx−3dx+2cy−6dy

Do the grouping cx−3dx+2cy−6dy=(cx−3dx)+(2cy−6dy), and factor out x in the first and 2y in the second group.

x(c−3d)+2y(c−3d)

Factor out common term c−3d by using distributive property.

(c−3d)(x+2y)