Question

asked Nov 5, 2019 230k views

2 Answers

JPark · Answer 1 · 2019-11-09T11:48:43+0000

Answer:

The expression that have the following quotient is:

1)

(-4x^2+20x-25)/(-2x+5)

It could also be written as:

$(-(5-2x)^2)/(5-2x)\\\\\\=-(5-2x)\\\\\\=2x-5$

Hence, we get the quotient:

2x-5

Option: (1) is correct.

2)

(-14x^2+35x)/(-7x)

which is simplified as follows:

$(-7x(2x-5))/(-7x)\\\\\\=2x-5$

Option: (2) is correct.

3)

(12x^2-58x+70)/(6x-14)

which is simplified as follows:

$=(2(2x-5)(3x-7))/(2(3x-7))\\\\\\=2x-5$

Hence, option: (3) is correct.

4)

(6x^2-10x-4)/(3x+1)

On simplifying:

$(2(3x+1)(x-2))/(3x+1)\\\\\\=2(x-2)\\\\\\=2x-4$

Hence, option: (4) is incorrect.

5)

(18x-45)/(9x)

on simplifying:

$(9(2x-5))/(9x)\\\\\\=(2x-5)/(x)$

Hence, option: (4) is incorrect.