Expand −5/6(9b−12) .(1 point)
To expand −5/6(9b−12), we distribute the -5/6 to each term inside the parentheses:
−5/6(9b) + −5/6(−12)
We then simplify each term:
= (-5/6) * (9b) + (-5/6) * (-12)
= -45b/6 + 60/6
Finally, we combine like terms by adding the numerators:
= (-45b + 60)/6
So, the expanded form of −5/6(9b−12) is (-45b + 60)/6.
To expand the expression -5/6(9b - 12), we need to distribute -5/6 to both terms inside the parentheses.
First, distribute -5/6 to 9b:
-5/6 * 9b = -45b/6 = -15b/2
Next, distribute -5/6 to -12:
-5/6 * -12 = 60/6 = 10
Putting it all together, the expanded expression is:
-15b/2 + 10
To expand the expression −5/6(9b−12), you can apply the distributive property. The distributive property states that when you multiply a number by a sum or difference within parentheses, you distribute the multiplication to each term individually.
Let's start by multiplying −5/6 with each term inside the parentheses:
−5/6 * 9b = (-5 * 9b) / 6 = -45b / 6 = -15b / 2
−5/6 * -12 = (-5 * -12) / 6 = 60 / 6 = 10
So the expanded expression becomes:
-15b/2 + 10