Question

simplest terms: 9(-6p - 4) + 3(3p - 5)
attempt 1 out of 2

Explanation:

Step1: Distribute the coefficients

First, we distribute the 9 and 3 into their respective parentheses.
For \(9(-6p - 4)\), we multiply 9 by each term inside the parentheses: \(9\times(-6p)= -54p\) and \(9\times(-4)= -36\).
For \(3(3p - 5)\), we multiply 3 by each term inside the parentheses: \(3\times3p = 9p\) and \(3\times(-5)= -15\).
So the expression becomes: \(-54p - 36 + 9p - 15\)

Step2: Combine like terms

Next, we combine the like terms (the terms with \(p\) and the constant terms).
For the \(p\)-terms: \(-54p + 9p = -45p\)
For the constant terms: \(-36 - 15 = -51\)

Answer:

\(-45p - 51\)