Question

Q.2. Simplify
(5p-4)³ + (5p+4q)³

Answer 1

Answer:

(a-b)^3 -a^3 -b^3 -3a^2 b +3ab^2

Step-by-step explanation:

(5p-4q)^3=(5p)^3 -(4q)^3 -3(5p)^2(4q)+3(5p)(4q)^2

  = 125p^3 -67q^3 -300p^2q+240pq^3

  (4p-5q)^2=(4p)^3 -(5q)^3 -3(4p)^2 +(5q) +3(4p)(5q)^2

 = 64p^3-125q^3 -240p^2 +300pq^2

NOW   (5p-4q)^3 + (4p-5q)^3

 125p^3-64q^3 -300p^2q +240pq^2+64p^3-125q^3 -240p^2q^2 +30pq^2

  = 18qp^3 -189 q^3 -540p^2q + 540 pq^2

      = (a-b)^3 -a^3 -b^3 -3a^2 b +3ab^2

dear friends don't panic by seeing this answer..

note: a^3 is known as ( a cude or a power 3 )..

i hope it may help u.......................................................................