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Tema [17]
3 years ago
9

What is the justification for the first step in proving the formula for factoring the sum of cubes?

Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Explanation:

The formula isnt correctly written, it should state:

a^3+b^3 = (a+b)(a^2-ab+b^2)

You have to start from (a+b)(a^2-ab+b^2)  and end in a³+b³. On your first step, you need to use the distributive property.

(a+b)(a^2-ab+b^2) = a*(a^2-ab+b^2) + b*(a^2-ab+b^2)

This is equal to

a*a^2-a*(ab) + a*b^2 + b*a^2-b*(ab) + b*b^2 = a^3 - a^2b + ab^2 +ba^2 -b^2a +b^3

Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.

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How would i etimate the first digit of the quotient
Sergio039 [100]
first you have to look to the right of that number .check if it is more than 5. if it is ,than add one to the first digit in the quotient. all the other numbers will turn to zeroes.
6 0
3 years ago
Collin did the work to see if 10 is a solution to the equation r/4=2.5
Natasha2012 [34]

Answer:

Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

\frac{r}{4}  = 2.5 \\ lhs =  \frac{r}{4}  \\  =  \frac{10}{4}  \\  = 2.5 \\  = rhs \\  \therefore \:  \frac{r}{4}  = 2.5 \\

3 0
3 years ago
What is the area of the regular polygon?
BartSMP [9]

Answer:

You could use the polygon area formula OR here's an easier solution

We draw the lines DC and DE

Angle ADC = 120°

Triangle ADC is a 30 60 90 triangle

In such a triangle Line AE = hypotenuse * sq root (3) /2

Line AE = 3 * 0.8660254038  = 2.5980762114

Line DE = 1.5

Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =

1.9485571586   square meters and entire area of Triangle

ABC = 6 * 1.9485571586

which equals 11.6913429513  square meters

Step-by-step explanation:

6 0
2 years ago
A person wishes to mix coffee worth nine dollars per pound with coffee worth three dollars per pound to get 240 pounds of a mixt
Anastasy [175]
\bf \begin{array}{lccclll}
&amount&price&priced\ amount\\
&-----&-----&--------\\
\textit{9 bucks/lb}&x&9&9x\\
\textit{3 bucks/lb}&y&3&3y\\
-----&-----&-----&-------\\
mixture&240&5&1200
\end{array}
\\\\\\
\begin{cases}
x+y=240\implies \boxed{y}=240-x\\
9x+3y=1200\\
----------\\
9x+3\left( \boxed{240-x} \right)=1200
\end{cases}

solve for "x".

what about "y"? well, y = 240 - x
4 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST
Art [367]

Answer: 10

Step-by-step explanation:

count the dots from number 2 and below

6 0
2 years ago
Read 2 more answers
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