−5(2x−6)+25x in factored form
-5(2x-6) + 5(5x)
5(-(2x-6)+5x)
5(-2x+6+5x)
now finish it off, and don't forget the factor of 3
5(-2x+6+5x)
To simplify the expression −5(2x−6)+25x into factored form, we can start by applying the distributive property.
-5(2x−6) + 25x = -10x + 30 + 25x
Now, we can combine like terms by adding the x terms together.
-10x + 30 + 25x = 15x + 30
Finally, we can factor out the common factor from both terms:
15x + 30 = 15(x + 2)
So the expression −5(2x−6)+25x in factored form is 15(x + 2).
To express the expression −5(2x−6)+25x in factored form, we need to simplify it first.
Step 1: Distribute the −5 to the terms inside the parentheses:
−5 * 2x + 5 * 6 + 25x
This simplifies to:
−10x + 30 + 25x
Step 2: Combine like terms by adding or subtracting:
(−10x + 25x) + 30
Simplifying further gives us:
15x + 30
Since the expression 15x + 30 does not have any common factors that can be factored out, it is already in its simplest form.
Therefore, the factored form of the expression −5(2x−6)+25x is 15x + 30.