Fewpal
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Factorize the following expressions: 

i. p2 – q2

ii. 4x2 – 25y2 

iii. y2 – 4 

iv. P- 1/25

v. 9x- 1/16y2

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i. p2 – q2 

Here, a = p, b = q 

∴ p2 – q2 = (p + q)(p – q) ….[(a2 – b2 ) = (a + b)(a – b)] 

ii. 4x2 – 25y2 

= (2x)2 – (5y)2 

Here, a = 2x, b = 5y 

∴ (2x)2 – (5y)2 = (2x + 5y)(2x – 5y) ….[(a2 – b2 ) = (a + b)(a – b)] 

iii. y2 – 4 

= y2 – 22 

Here, a = y, b = 2 

∴ y2 – 22 = (y + 2)(y – 2) ….[(a2 – b2 ) = (a + b)(a – b)]

iv P2 - 1/25

Here a = 1/25, b = 1/5

P2  - (1/5)2  = (P + 1/5) (p - 1/5)  ... [(a- b2 ) = (a + b)(a - b)]

v. 9x2 - 1/16y2

Here a = 3x, b= 1/4y

∴ (3x)2 - (1/4y)2 = (3x + 1/4y)(3x - 1/4y) ….[(a2 – b2) = (a + b)(a – b)]

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