Question

3x(x-y)-p(y-x) factorise by taking out the common factor​

Answer 1

Rewrite as

3x(x-y) -p[-(x-y)]

We factored out a minus from the second bracket. I chose the second bracket arbitrarily... You can chose the 1st bracket if you want.

Now when those two minus interact... They became Positive(From rules of sign Multiplication)

3x(x-y) + p(x-y)

Now factor out (x-y) from both

(x-y) [ 3x + p]

So that's our answer!!

(x-y)[ 3x + p ].