3 years ago

Which of the following shows the general formula for factoring the difference of cubes?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

7 0

Answer:

(a - b)(a² + ab + b²)

Step-by-step explanation:

The difference of cubes is expressed as:

a³-b³

Using trial and error:

a³-b³

Check (a - b)(a² + ab + b²)

Expand

(a - b)(a² + ab + b²)

= a(a²)+a(ab)+a(b²)-a²b-ab²-b³

= a³+a²b+a(b²)-a²b-ab²-b³

Collect the like terms

= a³+a²b-a²b+ab²-ab²-b³

= a³-b³

Hence the required option is

You might be interested in

What is 9x9 is 81 because if you count by 9 times the 9 is 81

mote1985 [20]

Answer:

Yes it's 81

Step-by-step explanation:

9 x 9 = 81

9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81

Your welcome

6 0

3 years ago

A triangle with vertices (−2, 3), (5, 4), and (−1,−1) is translated using the rule (x, y)→(x−3, y+4). What are the coordinates o

kolezko [41]

Answer:

(-6,7) (2,8) (-4,3)

Step-by-step explanation:

6 0

3 years ago

angle abc and angle cbd are supplementary angles the measure of angle cbd is 41 degrees what is the measure of angle abc

Nat2105 [25]

Answer:

139

Step-by-step explanation:

180-41=139

3 0

2 years ago

What is the slope of the line that contains these points? (15,-10) (17,2) (19,14) (21,26)

umka2103 [35]

The slopes of the line is 6

6 0

3 years ago

An equipment rental company charges a flat rate of $25,plusc$13 per day for insurance.kyle has $121.write an inequality to repre

Sergio [31]

13d+25≤121 represent the inequality to find the number of days.

Step-by-step explanation:

Flat rental fee of equipment = $25

No. of days = d

Per day fee = $13

Amount Kyle has = $121

According to given statement,

$13d+25\leq 121$

As the amount is $121, therefore, the total cost can either be a total of $121 or less.

13d+25≤121 represent the inequality to find the number of days.

Keywords: Linear inequalities

Learn more about linear inequalities about:

#LearnwithBrainly

3 0

3 years ago