Q. Find the product. Simplify your answer.(t+1)(t−1)
Perform Multiplication: Now we perform the actual multiplication for each pair of terms.t⋅t=t2 (First terms)t⋅(−1)=−t (Outer terms)1⋅t=t (Inner terms)1⋅(−1)=−1 (Last terms)So, (t+1)(t−1)=t2−t+t−1
Combine Like Terms: Next, we combine like terms. The terms −t and t cancel each other out because they are additive inverses.t2−t+t−1=t2−1
Simplify Expression: We have now simplified the expression completely. The product of (t+1)(t−1) is t2−1.