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3 years ago

(a + b)(a 2 - ab + b 2)

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

Answer:

a^3 + b^3 ("the sum of two cubes")

Step-by-step explanation:

If you want to express exponentiation please use the symbol " ^ ": a^2.

(a + b)(a^2 - ab + b^2) is a "special product" that you should learn, even though you can multiply out these two factors using the Distributive Property of Multiplication. Remember this: (a + b)(a^2 - ab + b^2) = a^3 + b^3, which is "the sum of two cubes."

JulsSmile [24]3 years ago

4 0

Answer:

a³ + b³

Step-by-step explanation:

Given

(a + b)(a² - ab + b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis

= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms

= a³ + b³

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Solnce55 [7]

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.

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2 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

According to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 pe

Papessa [141]

Answer:

317,988,000

Step-by-step explanation:

We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.

Let us find number of people increased in 1 minute as:

$11\times \frac{60}{12}=11\times 5 =55$

Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.

$\text{11 years}=11\text{ years}\times \frac{365\text{ days}}{\text{year}}\times \frac{24\text{ hours}}{\text{days}}\times \frac{60\text{ min}}{\text{hour}}$

$\text{11 years}=11\times 365\times 24\times 60\text{ min}$

$\text{11 years}=5,781,600\text{ min}$

Upon multiplying 5,781,600 by 55, we will get:

$\text{Population increase in 11 years}=5,781,600\text{ min}\times \frac{55 \text{ people}}{\text{min}}$

$\text{Population increase in 11 years}=5,781,600\times 55 \text{ people}$

$\text{Population increase in 11 years}=317,988,000 \text{ people}$

Therefore, the population of United States would increase 317,988,000 in 11 years.

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2 years ago

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Valentin [98]

Answer:

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Step-by-step explanation:

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2 years ago