PRACTICE QUESTIONS FOR a MINUS b WHOLE SQUARE

(a-b)² = a²-2ab+b²

1) Expand (P - 2T)² 

(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)² 

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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