how do you factor this?
x(x-3)+5(x-3)
x(x-3) + 5(x-3)
What factors do both expressions have in common?
Answer, (x-3)
Can you factor now?
so is it 3x^2+15x?
no its (x+5)(x-3)
Correct, (x - 3)(x + 5)
To factor the given expression, x(x-3) + 5(x-3), we notice that there is a common factor of (x-3) in both terms. We can factor out this common factor by using the distributive property.
Step 1: Identify the common factor.
The common factor in both terms is (x-3).
Step 2: Factor out the common factor.
By factoring out (x-3), we have:
(x-3)(x) + (x-3)(5)
Step 3: Simplify further if needed.
We can simplify this expression by combining like terms. The two terms in the expression both have (x-3) as a factor, so we can combine them using the distributive property.
(x-3)(x+5)
Now we have factored the given expression as (x-3)(x+5).