Fewpal
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Factorize the following expressions:

i. x2 - 1/x2

ii. a2 b - ab

iii. 4x2 y - 6x2

iv. 1/2y2 - 8z2

v. 2x- 8y2

1 Answer

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Best answer

i. x2 - 1/x2

Here a = x, b = 1/x

x2  - (1/x)2  = (x + 1/x)(x - 1/x) ... [(a2 - b2 ) = (a + b)(a - b)]

ii. a2 b - ab

= a (ab - b)

= ab (a -1) 

iii. 4x2 y - 6x2

= 2(2xy – 3x

= 2x(2y – 3)

iv. 1/2y2 - 8z2

v. 2x- 8y2

= 2 (x – 4y

= 2 [x – (2y)

= 2(x + 2y)(x – 2y) ….[(a– b) = (a + b)(a – b)]

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