Asked by timmy
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)
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{45p + 40}
\]
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:
\[
\boxed{45p + 40}
\]