Question

Factorise
(3x+1/4)*2 -(2x-1/2)*2
​

Answer 1

Answer:

$using \: \: identity \: \\ \: \: \: \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ (3x + \frac{1}{4} {)}^{2} - (2x - \frac{1}{2} {)}^{2} \\ = (3x + \frac{1}{4} + 2x - \frac{1}{2} )(3x + \frac{1}{4} - (2x - \frac{1}{2} )) \\ = (3x + 2x + \frac{1}{4} - \frac{1}{2} )(3x + \frac{1}{4} - 2x + \frac{1}{2} ) \\ = (5x + \frac{1 - 2}{4} )(3x - 2x + \frac{1}{4} + \frac{1}{2} ) \\ = (5x - \frac{1}{4} )(x + \frac{1 + 2}{4} ) \\ = (5x - \frac{1}{4} )(x + \frac{3}{4} )$

I hope it will help you