Question

question
rewrite in simplest terms: $10(7p + 6) - 5(5p + 4)$
answer

Explanation:

Step1: Distribute the coefficients

First, we distribute the 10 and -5 into their respective parentheses. For \(10(7p + 6)\), we multiply 10 by each term inside the parentheses: \(10\times7p = 70p\) and \(10\times6 = 60\). For \(-5(5p + 4)\), we multiply -5 by each term inside the parentheses: \(-5\times5p=-25p\) and \(-5\times4 = -20\). So now the expression becomes \(70p + 60 - 25p - 20\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(p\)-terms are \(70p\) and \(-25p\). Combining these, we get \(70p-25p = 45p\). The constant terms are 60 and -20. Combining these, we get \(60 - 20=40\). So the simplified expression is \(45p + 40\).

Answer:

\(45p + 40\)