Simplifying the Expression: (p+7)(6p^2+13p)
This article will guide you through simplifying the algebraic expression (p+7)(6p^2+13p).
Understanding the Expression
The expression consists of two terms:
 (p+7): This is a binomial with two terms, p and 7.
 (6p^2+13p): This is also a binomial with two terms, 6p^2 and 13p.
We are asked to simplify the expression by subtracting the second binomial from the first.
Simplifying the Expression

Distribute the negative sign: Since we are subtracting the second binomial, we need to distribute the negative sign to each term inside the parentheses. This gives us: (p+7) + (1)(6p^2+13p)

Simplify: Multiplying 1 with each term in the second binomial, we get: (p+7)  6p^2  13p

Combine like terms: Combine the 'p' terms and the constant terms: 6p^2 + (p13p) + 7 6p^2  12p + 7
Final Simplified Expression
Therefore, the simplified form of the expression (p+7)(6p^2+13p) is 6p^2  12p + 7.