Question

simplify ....
A= (x^2 + 2x - 24)(x-4)/x-3

Answer 1

Is the equation \[\large A=\frac{x^2+2x-24}{(x-4)(x-3)}\] ???

Answer 2

ill give u the whole equation
just a sec

Answer 3

Write an expression to represent the length of the rectangle if the area of the rectangle is x2 + 2x – 24 and the width is (x-4)/ (x-3).

Answer 4

k, if you can use the equation editor or draw it out

Answer 5

i cant understand the eqn

Answer 6

oh I see,


So Area = Length * Width


This means that A = LW


We're given \[\large A=x^2+2x-24\] and \[\large W=\frac{x-4}{x-3}\]


So plug these values into A=LW to get


\[\large x^2+2x-24=L\times\frac{x-4}{x-3}\]


Now multiply both sides by the reciprocal of the width and flip the equation to get


\[\large L=(x^2+2x-24)\times\frac{x-3}{x-4}\]



Now multiply the fractions to get \[\large L=\frac{(x^2+2x-24)(x-3)}{x-4}\]


From there, factor x^2+2x-24 to get (x-4)(x+6), so we now have \[\large L=\frac{ (x-4)(x+6)(x-3)}{x-4}\]


which simplifies to \[\large L= (x+6)(x-3)=x^2+3x-18\]


So \[\large L=x^2+3x-18\]

Answer 7

thank u :)