Question

1.
Using suitable identity find (p2 + 4) (p2 -1/4)​

Answer 1

Answer:

(x + a) (x - a) = x2 + (a + b )x + ab

Answer 2

p2^2 + (17/4)p2 + 1 is answer.

Step-by-step explanation:

Let p2 be x ,4 be a and 1/4 be b. Then (p2 +4) (p2 - 1/4) becomes (x+a) (x-b). That is (x+a) (x-b) =x^2 + (a-b)x -ab. Then, (p2 + 4) (p2 - 1/4) = p2^2 + [4-(-1/4)]p2 -4(-1/4) = p2^2 + (17/4)p2 + 1