Question

Simplify the expression and write any restrictions.

Answer 1

Answer:

Numerator :

$8x^2 - 10x + 3 = 8x^2 -6x -4x + 3$

                     $= 2x(4x -3)-1(4x -3) \\= (2x-1)(4x-3)$

Denominator :

$6x^2 + 3x -3 = 6x^2 +6x -3x - 3$

                   $=6x(x+1)-3(x+1)\\=(6x-3)(x+1)\\=3(2x-1)(x+1)$

$\frac{8x^2-10x+3}{6x^2+3x -3} = \frac{(2x-1)(4x-3)}{3(2x-1)(x+1)} = \frac{(4x-3)}{3(x+1)}$