PRACTICE QUESTIONS FOR a SQUARE MINUS b SQUARE

Problem 1 :

Expand (4x² - 9y²)

 (A) (2x+3y) (2x+3y)

 (B) (2x-3y) (2xy-3y)

 (C) (2x+3y) (2x-3y)

Problem 2 :

Expand (x²- y²)

 (A) (x+y) (x+y)

 (B) (x-y) (x-y)

 (C) (x+y) (x-y)

Problem 3 :

Expand (64x² - 25y²)

 (A) (8x + 5y) (8x - 5y)

 (B) (8x + 5y) (8x + 5y)

 (C) (8x - 5y) (8x - 5y)

Problem 4 :

Expand (81N² - 4L²)

 (A) (9N + 2L) (9N - 2L)

 (B) (9N + 2L) (9N + 2L)

 (C) (9N - 2L) (9N - 2L)

Problem 5 :

Expand (p² - Q²) 

(A)  (p + q) (p + q)

(B)  (p + q) (p - q)

(C)  (p - q) (p - q)

Problem 1 :

Expand (4x² - 9y²)

Solution :

Here a  =  2x and b  =  3y

(2x)2-(3y)2 = (2x+3y)(2x-3y)

Problem 2 :

Expand (x²- y²)

Solution :

Here a  =  x and b  =  y

x2-y2  =  (x+y)(x-y)

Problem 3 :

Expand (64x² - 25y²)

Solution :

Here a = 8x and b = 5y

(8x)2 - (5y)2  =  (8x+5y)(8x-5y)

Problem 4 :

Expand (81N² - 4L²)

Solution :

Here a = 9N and b = 2L

(9N)2 - (2L)2  =  (9N+2L)(9N-2L)

Problem 5 :

Expand (p² - Q²) 

Solution :

Here a  =  P and b  =  Q

P2-Q2  =  (P+Q)(P-Q)

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