Factor out the common binomial factor
(5x+y)(x-y)-5x(x-y)
done, see your previous post
To factor out the common binomial factor in the given expression, we will first simplify the expression by applying the distributive property.
Start by distributing the first term (5x+y) to both terms of the second binomial (x-y):
(5x+y)(x-y) = 5x(x-y) + y(x-y)
Next, distribute the second term (-5x) to both terms of the second binomial (x-y):
-5x(x-y) = -5x(x-y)
Now simplify the expression by combining like terms:
5x(x-y) + y(x-y) - 5x(x-y) = 5x^2 - 5xy + xy - y^2 - 5x^2 + 5xy
Notice that the terms -5xy and +5xy cancel each other out.
We are left with:
5x^2 - y^2
Therefore, the factored form of the expression (5x+y)(x-y)-5x(x-y) is 5x^2 - y^2.