Rewrite in simplest terms: 10, left parenthesis, 7, p, plus, 6, right parenthesis, minus, 5, left parenthesis, 5, p, plus, 4, right parenthesis10(7p+6)−5(5p+4)

Answer 1

To simplify the expression \( 10(7p + 6) - 5(5p + 4) \), let's follow these steps:

1. Distribute the 10 in the first term: \[ 10 \times 7p + 10 \times 6 = 70p + 60 \]

2. Distribute the -5 in the second term: \[ -5 \times 5p - 5 \times 4 = -25p - 20 \]

3. Combine the results: \[ 70p + 60 - 25p - 20 \]

4. Combine like terms (the terms with \( p \) and the constant terms): \[ (70p - 25p) + (60 - 20) = 45p + 40 \]

So, the simplified expression is: \[ \boxed{45p + 40} \]