Final answer:
The expression (7 - 9t)(7 - 9t) simplifies to 81t^2 - 126t + 49 using the FOIL method. Combine like terms and make sure the multiplication is applied correctly.
Step-by-step explanation:
To simplify the expression (7 - 9t)(7 - 9t), we will use the FOIL method (First, Outer, Inner, Last) to expand the binomials.
First, multiply the First terms: 7 × 7 = 49.
Next, multiply the Outer terms: 7 × (-9t) = -63t.
Then, multiply the Inner terms: (-9t) × 7 = -63t.
Finally, multiply the Last terms: (-9t) × (-9t) = 81t2.
Combine like terms: 49 - 63t - 63t + 81t2 = 49 - 126t + 81t2.
The simplified form of the original expression is 81t2 - 126t + 49. To check if the answer is reasonable, make sure that all like terms have been combined and ensure that the FOIL method has been correctly applied.