Final answer:
To find the product (−/5+1)(−/5−1), we can use the FOIL method, which involves multiplying the first terms, outer terms, inner terms, and last terms of the binomials. Adding up the products yields a result of 0.
Step-by-step explanation:
To find the product (−/5+1)(−/5−1), we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, and is a way to multiply two binomials.
- First, multiply the first terms of each binomial: (−/5)(−/5) = 1/25
- Outer, multiply the outer terms of each binomial: (−/5)(−1) = 1/5
- Inner, multiply the inner terms of each binomial: (1)(−/5) = −1/5
- Last, multiply the last terms of each binomial: (1)(−1) = −1
Now, add up the products: 1/25 + 1/5 + (−1/5) + (−1) = 0
Therefore, the product of (−/5+1)(−/5−1) is 0.
Learn more about Multiplying Binomials