3 years ago

Simplify the rational expressions. X^2 - 16/ X^2 + 6x + 8

Mathematics

2 answers:

Anestetic [448]3 years ago

7 0

The correct answer is x-4/x+2

Yuki888 [10]3 years ago

4 0

Answer:

$\large\boxed{\dfrac{x-4}{x+2}}$

Step-by-step explanation:

$\dfrac{x^2-16}{x^2+6x+8}=\dfrac{x^2-4^2}{x^2+4x+2x+8}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{(x-4)(x+4)}{x(x+4)+2(x+4)}=\dfrac{(x-4)(x+4)}{(x+4)(x+2)}\qquad\text{cancel}\ (x+4)\\\\=\dfrac{x-4}{x+2}$

You might be interested in

write an equation of a line in slope-intercept form if the slope is ½ and the y-intercept is -2. a. y = (½)x 2 b. x - 2y = -4 c.

vaieri [72.5K]

Y = mx + c

y = (1/2)x + (-2)

<span>y = (1/2)x - 2
</span>
C

7 0

3 years ago

The pottery class has 14 pounds of clay. Each student got 1/3 of a pound of clay to make a plate. How many plates did the studen

Taya2010 [7]

14 divided by 1/3= 42 so 42 plates. Hope it helps! P.S. Can you mark me brainliest if I'm right?

4 0

3 years ago

Read 2 more answers

It’s due tomorrow plz HELP

Vikentia [17]

$\dfrac{3}{4} + 5 - \dfrac{1}{2} = \dfrac{3}{4} + \dfrac{20}{4} - \dfrac{2}{4} = \dfrac{21}{4} = 5 \dfrac{1}{4}$

$\dfrac{2}{3} + {2}^{3} - \dfrac{1}{3} = \dfrac{2}{3} + \dfrac{24}{3} - \dfrac{1}{3} = \dfrac{25}{3} = 8 \dfrac{1}{3}$

$- 15 + 6x - 19 - 20x = - 14x - 34$

$- 7x - 2 - 9y + 10x = 3x - 9y - 2$

$14 + x = 18 \\ x = 18 - 14 \\ x = 4$

$- 5x = - 15 \\ x = - 15 \div ( - 5) \\ x = 3$

$- 2x + 8 = 18 \\ - 2x = 18 - 8 \\ - 2x = 10 \\ x = 10 \div ( - 2) \\ x = - 5$

$3x + 18 - 8x = - 17 \\ 3x - 8x = - 17 - 18 \\ - 5x = - 35 \\ x = - 35 \div ( - 5) \\ x = 7$

7 0

3 years ago

Which of the following is an appropriate measure of central tendency to apply

Serhud [2]

Answer:

Mean and Median

Step-by-step explanation:

5 0

3 years ago

Due Nov 19, 9:10 AM A museum requires that for every 6 students. two teachers are needed. If 42 students are in , ? Participatio

nata0808 [166]

Answer:

too late

Step-by-step explanation:

its dec

3 0

3 years ago