Question

factorize the following. 8(p-q)^3-12(p-q)^2​

Answer 1

Answer:

8(p-q) ³-12(p-q) ²

4[2(p-q) ³-3(p-q) ²]

4(p-q) ²(2(p-q) -3)

4(p-q) ²(2p-2q-3)

Answer 2

Step by Step :-

___________

8(p-q) ^3 - 12(p-q) ^2

=4(p-q) ^2 [ 2(p-q) - 3 ]

={ ( 2) * (p-q) } ^ 2 [ 2(p-q) - 3 ]

=( 2p - 2q )^2 [ 2p - 2q -3 ]

= { (2p)^2 - 2.p.q + (2q) ^2 } [ 2p - 2q -3 ]

=(4p^2 + 4q^2 - 2pq) ( 2p - 2q -3 ) [Ans:-]

Hope it helps....