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Question

Simplify:
(2.5p1.5q)2(1.5p2.5q)2.

  1. 4p24q2
  2. 6.25p24q2
  3. 4p22.25q2
  4. 6.25p22.25q2

A
6.25p24q2
B
4p22.25q2
C
4p24q2
D
6.25p22.25q2
Solution
Verified by Toppr

Given, (2.5p1.5q)2(1.5p2.5q)2.

We know, (ab)2=a22ab+b2.

Then,
(2.5p1.5q)2(1.5p2.5q)2
=[(2.5p)22(2.5p)(1.5q)+(1.5q)2][(1.5p)22(1.5p)(2.5q)+(2.5q)2]
=6.25p27.5pq+2.25q22.25p2+7.5pq6.25q2
=6.25p2+2.25q22.25p26.25q2
=6.25p22.25p2+2.25q26.25q2
=4p24q2.

Therefore, option A is correct.

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Simplify: (2.5p1.5q)2(1.5p2.5q)2
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Q2

Question 4(v)
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