Question

Factorise the following


`(4x - (1)/(5) ) ^(2) - (x + (1)/(2) ) ^(2)`
​

Answer 1

(5x +
`(3)/(10)` )(3x -
`(7)/(10)`)

Explanation:

The expression is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Then

(4x -
`(1)/(5)` )² - (x +
`(1)/(2)` )²

= (4x -
`(1)/(5)` + x +
`(1)/(2)` )(4x -

= (5x +
`(3)/(10)` )(3x -
`(7)/(10)` )

Answer 2

Please find attached photograph for your answer. Hope it is alright.