Answer:
the expression equivalent to \( (n-2)(2n+7) \) is \( 2n^2 + 3n - 14 \).
Step-by-step explanation:
To find an expression equivalent to \( (n-2)(2n+7) \), we can use the distributive property of multiplication over addition/subtraction.
Applying the distributive property:
\[ (n-2)(2n+7) = n(2n+7) - 2(2n+7) \]
Now, we can distribute each term inside the parentheses:
\[ = 2n^2 + 7n - 4n - 14 \]
Combine like terms:
\[ = 2n^2 + (7n - 4n) - 14 \]
\[ = 2n^2 + 3n - 14 \]
So, the expression equivalent to \( (n-2)(2n+7) \) is \( 2n^2 + 3n - 14 \).
