Question

Factorisation by regrouping
1. x(x+y-z)-yz

Answer 1

Given algebraic expression is x (x + y - z) - y z

Let us ungroup the third term with z from parentheses.
x (x + y) - x z - y z
= x ( x + y) - ( x + y) z
= (x - z) × (x + y)

If we fully expand the given expression, we get 4 terms.
x^2 + x y - x z - y z

We can also regroup 2nd term and 4th term together. 1st and 3rd terms together.

= x^2 - x z + x y - y z
= x(x - z) + y (y - z) = (x - z) × (x + y)

Answer 2

Answer:

Given algebraic expression is x (x + y - z) - y z

Let us ungroup the third term with z from parentheses.

x (x + y) - x z - y z

= x ( x + y) - ( x + y) z

= (x - z) × (x + y)

If we fully expand the given expression, we get 4 terms.

x^2 + x y - x z - y z

We can also regroup 2nd term and 4th term together. 1st and 3rd terms together.

= x^2 - x z + x y - y z

= x(x - z) + y (y - z) = (x - z) × (x + y)

Step-by-step explanation: