Expand −5/8(3p+8).
To expand −5/8(3p+8), we distribute the −5/8 to both terms inside the parentheses:
−5/8 * 3p + (−5/8) * 8
Simplifying further:
-15/8p - 40/8
We can simplify -15/8p and -40/8:
-1(15p/8) - 5
Thus, the expanded form of −5/8(3p+8) is -15p/8 - 5.
To expand the expression −5/8(3p+8), we need to distribute the −5/8 to both terms inside the parentheses, which gives us:
−5/8 * 3p + −5/8 * 8
Next, we can simplify the multiplication:
-15p/8 + -40/8
Finally, we can combine the two terms:
-15p/8 - 40/8
This can be further simplified by combining the numerators over the common denominator:
(-15p - 40)/8
Therefore, the expanded form of −5/8(3p+8) is (-15p - 40)/8.
To expand the expression −5/8(3p+8), we can use the distributive property. This property states that when a number is multiplied by a sum or difference of terms, we have to multiply it by each term individually.
So, let's break it down step by step:
1. Multiply -5/8 by 3p:
-5/8 * 3p = (-5 * 3p) / 8 = -15p / 8
2. Multiply -5/8 by 8:
-5/8 * 8 = (-5 * 8) / 8 = -40 / 8 = -5
Therefore, the expanded form of −5/8(3p+8) is -15p/8 - 5.