Factor the expression completely.
minus, 30, plus, 36, x
−30+36x
The given expression can be factored completely as:
−30+36x = 6(6x-5)
To factor the expression completely, we look for common factors, if any, and then apply the distributive property.
The expression −30+36x can be rewritten as:
6x - 5x - 30
Now, we can factor by grouping:
(6x - 5) - 6(5x + 6)
This can be simplified further by factoring out the common factor of 6 from both terms inside the parentheses:
(6x - 5) - 6(5x + 6)
(6x - 5) - 6(5x + 6)
6(x - 5) - 6(5x + 6)
Therefore, the expression −30+36x can be factored completely as:
6(x - 5) - 6(5x + 6)
To factor the expression −30+36x completely, we need to look for any common factors that can be factored out. In this case, we can see that both terms have a common factor of 6. By factoring out 6, we get:
6(-5 + 6x)
Now, we can see that the expression inside the parentheses, (-5 + 6x), cannot be factored any further.
Therefore, the completely factored expression is:
6(-5 + 6x)