PRACTICE QUESTIONS FOR a MINUS b WHOLE SQUARE

(a-b)2 = a2-2ab+b2

1) Expand (P - 2T)

(A) P2- 4P + 9T2       (B) P2- 4 PT + 4T2

 (C) 9P2- 25P - 9T2

2) Expand (2P - Q)2

(A) 4 P2 + 4 PQ + Q2    (B) 4 P2 - 4 PQ + Q2

(C) 16 P2 12 PQ + Q2

3)  Expand (2a - 3b)2

 (A) 4a2 - 12 ab + 9 b2    (B) 25a2 + 30 ab + 49 b2

 (C) 16a2 -30 ab - 9 b2

4)  Expand (5N - 3P)2

(A) 5N2 - 30 NP + 9 P2   (B) 25 N2 - 30 NP + 9 P2

(C) 16 N2 - 16 NP + 9 P2

5)  Expand (9T - Q)2

 (A) 4T2 + 12TQ + 9Q2       (B) 81T2 -18 TQ + Q2

 (C) 25 T2 + 25 TQ + Q2

6) Expand (13p - 5q)2

(A) 3p2 + 40 pq + 25 q2     (B) 16 p2 + 30 pq + 49 q2 

 (C) 169 p2 - 90 pq + 25 q2

7) Expand (3p - 4q)2

(A) 9p2 - 24 pq + 16 q2    (B) 9p2 - 12 pq + 16 q2

(C) 6p2 - 24 pq + 16 q2

Solutions for Practice Questions

Problem 1 :

Expand (P - 2T)

Solution :

Here a  =  P and b  =  2T

(P - 2 T)2  =  P2 - 2 (P)(2T) + (2T)2

  =  P2 - 4 PT + 4T2

Problem 2 :

Expand (2P - Q)²

Solution :

Here a  =  2P and b  =  Q

(2 P - Q)2  =  (2P)2 - 2 (2P)(Q) + Q2

  =  4P2 - 4PQ + Q2

Problem 3 :

Expand (2a - 3b)²

Solution :

here a = 2a and b = 3b

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

  = 4a2 - 12ab + 9b2

Problem 4 :

Expand (5N - 3P)²

Solution :

here a = 5N and b  =  3P

(2a - 3b)2  =  (5N)2 - 2(5N)(3P) + (3P)2

  =  25N2 - 30NP + 9P2

Problem 5 :

Expand (9T - Q)²

Solution :

here a  =  9T and b  =  Q

(9T - Q)2  =  (9T)2 - 2 (9T)(Q) + Q2

  = 81T2 - 18 TQ + Q2

Problem 6 :

Expand (13p - 5q)²

Solution :

Here a  =  13 P and b  =  5 Q

(13P - 5Q)2  =  (13P)2 - 2 (13P)(5Q) + (5Q)2

  =  169P2 - 130 PQ + 25 Q 2

Problem 7 :

Expand (3p - 4q)²

Solution :

Here a  =  3p and b  =  4q

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

  =  9P2 - 24pq + 16q 2

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