factorise 3px-3py-x+y
solution
3px-3py3x+y= 3p(x-y)-1(x-y)
=(3p-1)(x-y) Ans.
To factorize the expression 3px - 3py - x + y, we can group the terms with common factors:
3px - 3py - x + y = 3p(x - y) - (x - y)
Now we have a common factor of (x - y), which we can factor out:
3p(x - y) - (x - y) = (3p - 1)(x - y)
Therefore, the factorized form of 3px - 3py - x + y is (3p - 1)(x - y).
To factorize the expression 3px - 3py - x + y, we can group terms that have common factors and then factor out the common factors.
Let's group the terms:
(3px - 3py) - (x - y)
Now, we can factor out the common factors from each group separately:
3p(x - y) - 1(x - y)
Notice that both terms inside the parentheses are the same, x - y.
So, we can factor out x - y:
(3p - 1)(x - y)
Thus, the factored form of the expression 3px - 3py - x + y is (3p - 1)(x - y).