use factoring to find the simplified product of these rational expressions.\n$\frac{x^{2}+2x - 3}{x^{2}-x…

use factoring to find the simplified product of these rational expressions.\n$\frac{x^{2}+2x - 3}{x^{2}-x - 30}cdot\frac{x^{2}+2x - 48}{x^{2}-4x + 3}$\n$\frac{(x + 3)(x+?)}{(x+ )(x - 3)}$

use factoring to find the simplified product of these rational expressions.\n$\frac{x^{2}+2x - 3}{x^{2}-x - 30}cdot\frac{x^{2}+2x - 48}{x^{2}-4x + 3}$\n$\frac{(x + 3)(x+?)}{(x+ )(x - 3)}$

Answer

Explanation:

Step1: Factor the first numerator

$x^{2}+2x - 3=(x + 3)(x - 1)$

Step2: Factor the first denominator

$x^{2}-x - 30=(x - 6)(x+5)$

Step3: Factor the second numerator

$x^{2}+2x - 48=(x + 8)(x - 6)$

Step4: Factor the second denominator

$x^{2}-4x + 3=(x - 3)(x - 1)$

Step5: Multiply the rational - expressions

$\frac{(x + 3)(x - 1)}{(x - 6)(x + 5)}\cdot\frac{(x + 8)(x - 6)}{(x - 3)(x - 1)}=\frac{(x + 3)(x + 8)}{(x + 5)(x - 3)}$

Answer:

$\frac{(x + 3)(x + 8)}{(x + 5)(x - 3)}$