Question

factories the 36p2-64q2​

Answer 1

Answer:

4(3p-4q)×(3p+4q)

Step-by-step explanation:

= 36p2-64q2

= 4(9q2-16q2)

= 4(3p-4q)×(3p+4q) Using a2-b2=(a-b)(a+b)

answer= 4(3p-4q)×(3p+4q)

Answer 2

Given:

Expression 36p²-64q²

To find:

A factor of the above expression

Solution:

36p²-64q²

make a square

(6p)²-(8q)²

use algebraic identity

a²-b²=(a+b)(a-b)

=(6p+8q)(6p-8q)

take 2 commons in both brackets

=2(3p+4q).2(3p-4q)

=4(3p+4q)(3p-4q)

Hence, factor of 36p²-64q² is 4(3p+4q)(3p-4q).