Question

Regroup the terms and factorise: z – 19 + 19xy – xyz

Answer 1

Answer:r

Step-by-step explanation:

(z-xyz) (-19+19xy)

z(1-xy)-19(1-xy)

(1-xy) (z-19)

Answer 2

Given:

z – 19 + 19xy – xyz

To find:

Factorise form of z – 19 + 19xy – xyz.

Solution:

To factorise the given expression, first of all, we will regroup the terms present in the expression. This is usually done by taking the terms having similar variables together.

So, we have,

z – 19 + 19xy – xyz

After regrouping the terms, we have,

z – 19 – xyz + 19xy

z – 19 – xy (z - 19)

1 (z – 19) – xy (z - 19)

(z – 19) (1 – xy)

Hence, the factorised form of z – 19 + 19xy – xyz is (z – 19) (1 – xy).