$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago

What is 70/6 times 18/4 in simplest form

Alenkasestr [34]

70/6 × 18/4

70 * 18/6*4. cross out 18 and 6.

= 70*3/4

= 35 * 2 * 3/ 2*2

= 35*3/2

= 105/2

= 52.5

OR

52 1/2.

6 0

3 years ago

Read 2 more answers

Austin will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $40 and costs an ad

GenaCL600 [577]

Answer:

1st plan--> 40+0.11x

2nd plan--> 49+0.09x

Dont know wat u want

Step-by-step explanation:

7 0

1 year ago