All categories

3 years ago

Factor the expression completely: x³y - 4xy

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

Factor out the gcf
xy(x^2-4)

The inner binomial can be factored using the difference of squares.
xy(x+2)(x-2)

Final answer: xy(x+2)(x-2)

levacccp [35]3 years ago

6 0

See attached picture for the answer:

You might be interested in

Evaluate m + n2 if we know m = 2 and n = –2.

Inessa05 [86]

<span> m + n^2
= 2 + (-2)^2
= 2 + 4
= 6

answer is 6</span>

8 0

3 years ago

Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126

True [87]

Answer:

Step-by-step explanation:

let the numbers be x,x+1,x+2 (x<x+1<x+2)

2x+3(x+2)=126

2x+3x+6=126

5x=126-6

5x=120

x=120/5=24

numbers are 24,24+1,24+2

or 24,25,26

5 0

2 years ago

Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo

Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: $b(x; n, p) =^nC_xp^x(1- p)^{n-x}$

$P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}$

$P(x=3) =(0.6)^3$

$P(x=3)=0.216$

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

$P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}$

$P(x=2) =3(0.36)(0.4)$

$P(x=2) =0.432$

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0

3 years ago

Hi please help with my maths!

mylen [45]

Answer: I need more to solve this

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

X2 = x + 12<br> Solve this

Talja [164]

Answer:

x=4,−3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers