Factor 125x^3-1000. Show your work.

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

4 0

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

You might be interested in

A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all th

Zinaida [17]

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

4 0

3 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?

Marrrta [24]

EF = 50 in.

In similar figures, corresponding sides are proportional. We use the similarity statement ABCD~EFGH to write a proportion:

$\frac{AB}{EF}=\frac{AD}{EH}
\\
\\ \frac{30}{x}=\frac{45}{75}$

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50

3 0

2 years ago

What is the solution to 2x-8 <12

Nookie1986 [14]

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

$\frac{2x}{2} \frac{20}{2}$