Question

Help guys show your solution and answer the question​

Answer 1

Explanation:

`(3x^(2)-2)/(3x-2)-(x)/(2-3x)=(3x^(2)-2)/(3x-2)-(x)/(-(3x-2))\\\\=(3x^(2)-2)/(3x-2)-(-x)/(3x-2)\\\\=(3x^(2)-2)/(3x-2)+(x)/(3x-2)\\\\=(3x^(2)-2+x)/(3x-2)\\\\=((3x-2)(x+1))/(3x-2)\\\\=x+1`1)

1) I took negative sign from (2-3x)

2) I multiplied the to successive negative sign.

3) 3x² +x - 2 = 3x² + 3x - 2x - 2*1

= 3x( x + 1) - 2(x + 1)

= (x + 1)(3x-2)

4) I stroked out (3x-2) which was common in denominator and numerator