Question

Perform the indicated operations and simplify the expression

Answer 1

[(3x^2+5x-2)/(4x+12)]÷[(x^2-4)/(x^2+x-6)]

=[(3x^2+6x-x-2)/4(x+3)]÷[(x-2)(x+2)/(x^2+3x-2x-6)]

=[(3x(x+2)-1(x+2)/4(x+3)]÷[(x-2)(x+2)/(x(x+3)-2(x+3)]

=[(3x-1)(x+2)/4(x+3)]÷[(x-2)(x+2)/(x-2)(x+3)]

=[(3x-1)/4]