Question

Simplify completely quantity 6 x squared minus 54 plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus 56 over quantity 2 x squared plus 12 x minus 32

Answer 1

a. 2 open parentheses x minus 3 close parentheses over 3 open parentheses x minus 2 close parentheses
b. 2 open parentheses x minus 2 close parentheses over 3 open parentheses x minus 3 close parentheses
c. 3 open parentheses x minus 3 close parentheses over 2 open parentheses x minus 2 close parentheses
d. 3 open parentheses x minus 2 close parentheses over 2 open parentheses x minus 3 close parentheses

Answer 2

You should be able to answer this question the same way as the last question.

Answer 3

try factorizing these quadratic equations and than will see what you will can simplify

Answer 4

6x^2 -54x +84 = 6(x^2 -9x +14) = 6(x -7)(x-2)
8x^2 -40x +48 = 8(x^2 -5x +6) = 8(x-3)(x-2)
2x^2 +12x -32= 2(x^2 +6x -16) = 2(x+8)(x-2)
x^2 +x -56 = (x+8)(x-7)


6x^2 -54x +84
---------------
8x^2 -40x +48 6x^2 -54x +84 2x^2 +12x -32
----------------- = --------------- * ---------------- =
x^2 +x -56 8x^2 -40x +48 x^2 +x -56
---------------
2x^2 +12x -32



6(x -7)(x-2) 2(x+8)(x-2) 3(x-7) 2(x-2) 3*2(x-2)
= ------------ * ------------ = ------- * ------- = --------- =
8(x-3)(x-2) (x+8)(x-7) 4(x-3) x -7 4(x-3)


3(x-2)
= --------
2(x-3)


hope so much that is understandably sure right easy

good luck

bye