Simplifying the Expression: (d²  d + 5)  (2d + 5)
This article will guide you through simplifying the expression (d²  d + 5)  (2d + 5).
Understanding the Expression
The expression involves combining two sets of terms, with one being subtracted from the other. Here's a breakdown:
 (d²  d + 5): This is a trinomial (three terms) with a squared term, a linear term, and a constant.
 (2d + 5): This is a binomial (two terms) with a linear term and a constant.
Simplifying the Expression

Distribute the negative sign: Since we are subtracting the entire binomial, we need to distribute the negative sign to each term inside the parentheses:
(d²  d + 5)  (2d + 5) = d²  d + 5  2d  5

Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.
 d² term: Only one d² term, so it remains unchanged.
 d terms: d  2d = 3d
 Constant terms: 5  5 = 0

Write the simplified expression: Combining all the simplified terms, we get:
d²  3d
Final Result
The simplified expression of (d²  d + 5)  (2d + 5) is d²  3d.