Question

here is my question(q.29)
.......need some help with his 8th grade sum......tap the image to view the question clearly. thank you​

Answer 1

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Answer 2

Answer:

1/6 × (3p²-2q²) × 1/10 × (5p-2q)

=1/60 × (3p²-2q²)(5p-2q)

=1/60 × (15p³-6p²q-10pq²+4q³)

=1/4 p³ - 1/10 p²q - 1/6 pq² + 1/15 q³

Verify

p=2 and q=-4

=> (1/2 p² - 1/3 q²) (1/2 p - 1/5 q)

   = (2 - 16/3) ( 1 + 4/5)

   = -10/3 × 9/5

   = -10/5 × 9/3

   = -2×3

  = -6

p=2 and q=-4

=> 1/4 p³ - 1/10 p²q - 1/6 pq² + 1/15 q³

   = 2 + 16/10 - 32/6 - 64/15

   = 2 + 8/5 - 16/3 - 64/15

   = 2 + 24/15 - 80/15 - 64/15

   = 2 - 120/15

   = 2 - 8

  = -6  same value as before