Answer:
The factor is 11x - 2y ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to factorize the difference of two cubes
- If we want to factorize x³ - y³
- The binomial x³ - y³ is different of two cubes, because x³ is cube x
and y³ is cube y
- The difference of two cubes has two factors one two two terms and
the other is three terms
- To factorize it we find the ∛x³ and ∛y³
→ ∛x³ = x and ∛y³ = y
→ Then the first factor is (x - y)
→ We find the second factor from the first factor
→ square x
→ square y
→ Multiply x and y and put them between x² and y² with opposite sign
of the first factor
→ The second factor is (x² + xy + y²)
* Lets do the same with 1331x³ - 8y³
∵ ![\sqrt[3]{1331x^{3}}=11x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1331x%5E%7B3%7D%7D%3D11x)
∵ ![\sqrt[3]{8y^{3}}=2y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8y%5E%7B3%7D%7D%3D2y)
∴ The first factor is (11x - 2y)
∵ (11x)² = 121x²
∵ (2y)² = 4y²
∵ 11x × 2y = 22xy
∵ The sign of first factor is (-)
∴ The second factor is (121x² + 22xy + 4y²)
∴ <em>The factor is 11x - 2y </em>
Identity
An identity is an equation that is true for all values of the variables. For example:
(x+y)^2=x^2+2xy+y^2
The above equation is true for all possible values of x and y, so it is called an identity.
Strictly speaking we should use the "three bar" sign to show it is an
identity as shown below. But it is very common to use the equal sign.
<h3>Given:</h3>
- P= $12500
- R= 10%
- T= 3 years
<h3>Note that:</h3>
- P= Principal amount
- R= Rate of interest
- T= Time period
<h3>To find:</h3>
- The simple interest
- The total amount paid
<h3>Solution:</h3>
First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).
Now, we'll have to divide the amount (375000) by 100.
<em>I=$3750</em>
Now, we can find the total amount paid.
Let's substitute according to the formula.
<em>A=$16250</em>
<u>Therefore</u><u>,</u><u> </u><u>simple</u><u> </u><u>interest</u><u> </u><u>is</u><u> </u><u>$</u><u>3</u><u>7</u><u>5</u><u>0</u><u> </u><u>and</u><u> </u><u>$</u><u>1</u><u>6</u><u>2</u><u>5</u><u>0</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>in</u><u> </u><u>total</u><u>.</u>
