Question

factorise the following expression.

ax²y+bxy²+cxyz​

Answer 1

Answer:

We have, ax

2

y=a×x×x×y

bxy

2

=b×x×y×y

and, cxyz=c×x×y×z

The three terms have x and y as common factors

∴ax

2

y+bxy

2

+cxyz=(a×x×x×y)+(b×x×y×y)+(c×x×y×z)

=x×y×(a×x+b×y+c×z)

=xy(ax+by+cz)