Question

64a²-112ap+49p² factorize
plz answer it

Answer 1

Hey

Here is your answer,

64a²-112ap+49p²

Using the identity (a-b)^2 = a^2 - 2ab + b^2,

=(8a - 7b)^2
=(8a - 7b)(8a - 7b)

Hope it helps you!

Answer 2

64a^2 is square of 8a, while 49p^2 is the square of 7p
so this resembles to the identity:-
(a-b)^2=a^2+b^2-2ab
similarly, 64a^2-2(8a)(7p)+49p^2 =(8a-7p)^2

hope this helps!