Factorize the following expressions : i. x^2 - 1/x^2

Question

Factorize the following expressions :

i. \(x^2 - \frac{1}{x^2}\)

ii. a²b – ab

iii. 4x²y – 6x²

iv. \(\frac{1}{2}y^2 - 8z^2\)

v. 2x² – 8y²

Answer 1

i. \(x^2 - \frac{1}{x^2}\)

ii. a²b – ab

= a (ab – b) 

= ab (a – 1)

iii. 4x²y – 6x²

= 2 (2x²y – 3x²) 

= 2x² (2y – 3)

iv. \(\frac{1}{2}y^2 - 8z^2\)

v. 2x² – 8y²