YOUR ACTIVITY: Factor the following polynomial: n^(2)-p^(2)= x^(2)-36= e^(2)-x^(2)= y^(2)-81= b^(2)-49= 16c^(2)-64= c^(2)-25= 4r^(2)-5^(2)= d^(2)-16= m^(2)-64m^(4)=

1. \( (n - p) (n + p) \)2. \( (e - x) (e + x) \)3. \( (b - 7) (b + 7) \)4. \( (c - 5) (c + 5) \)5. \( (d - 4) (d + 4) \)6. \( (x - 6) (x + 6) \)7. \( (y - 9) (y + 9) \)8. \( 16 (c - 2) (c + 2) \)9. \( (2 r - s) (2 r + s) \)10. \( -m^2 (8 m - 1) (8 m + 1) \)

1. The expression is a difference of squares, which can be factored into \( (n - p) (n + p) \).2. is also a difference of squares, factored into \( (e - x) (e + x) \).3. is \( (b - 7) (b + 7) \) when factored.4. becomes \( (c - 5) (c + 5) \) after factoring.5. is \( (d - 4) (d + 4) \) when factored.6. can be factored into \( (x - 6) (x + 6) \).7. is \( (y - 9) (y + 9) \) when factored.8. can be factored as \( 16 (c - 2) (c + 2) \).9. is \( (2 r - s) (2 r + s) \) when factored.10. can be factored into \( -m^2 (8 m - 1) (8 m + 1) \).Each of these expressions is a difference of squares, which is a common algebraic form that can be factored into the product of two binomials. The only exception is the last expression, which involves a cubic term and requires additional steps for factoring.