Question

factorise the following using the identity a2-b2 =(a+b )(a-b)
1.9x^2-1
2.x^2/9-y^2/25
3.y^2-y/9
4.x^2/25-625
5.x^2/8-y^2/18
6.4x^2/9 -9y^2/16
7.x^2y/9-xy^2/16
8.1/36 a^2 b^2- 16/49 b^2c^2
9.a^2-(a-b)^4
10.x^4-1
if you sove this you are a brilliant!​

Answer 1

,

$6. (\frac{2x}{3} + \frac{3y}{4} )(\frac{2x}{3} - \frac{3y}{4} ) \\ 7. xy( \frac{ {x} }{9} - \frac{y}{16} \\ 10.( {x}^{2} - 1)( {x}^{2} + 1) \\ = (x + 1)(x - 1)( {x}^{2} + 1)$

Step-by-step explanation:

$1.(3x + 1)(3x - 1) \\ 2.( \frac{x}{3} - \frac{y}{5} )( \frac{x}{3} + \frac{y}{5} ) \\ 3.( \frac{x}{5} + 25) ( \frac{x}{5} - 25) \\ 4. \frac{1}{2} ( \frac{x}{2} + \frac{y}{3} )( \frac{x}{2} - \frac{y}{3} )$