Question

What is the difference? startfraction x over x squared minus 2 x minus 15 endfraction minus startfraction 4 over x squared 2 x minus 35 endfraction startfraction x squared 3 x 12 over (x minus 3) (x minus 5) (x 7) endfraction startfraction x (x 3 minus 12) over (x 3) (x minus 5) (x 7) endfraction startfraction x squared 3 x 12 over (x 3) (x minus 5) (x 7) endfraction startfraction x squared 3 x minus 12 over (x 3) (x minus 5) (x 7) endfraction

Answer 1

The difference is StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

$\frac{x}{x^{2} -2x-15} -\frac{4}{x^{2} +2x-35}$

$\frac{x}{x^{2} -5x+3x-15} -\frac{4}{x^{2} +7x-5x-35}\\\frac{x}{(x-5)(x+3)} -\frac{4}{(x-5)(x+7)}$

by Taking LCM

$\frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)}$

$\frac{x^{2} +3x -12}{(x-5)(x+3)(x+7)}$

Learn more about a quadratic equation;

brainly.com/question/2263981