The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Step-by-step explanation:
The sum of two cubes has two factors:
1. The first factor is ![\sqrt[3]{1st}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1st%7D)
+ ![\sqrt[3]{2nd}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2nd%7D)
2. The second factor is ( )² - ( ) ( ) + ( )²
Ex: The expression a³ + b³ is the sum of 2 cubes
The factorization of a³ + b³ is (a + b)(a² - ab + b²)
∵ The expression is 343x³ + 216y³
∵ ![\sqrt[3]{343x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B343x%5E%7B3%7D%7D)
= 7x
∵ ![\sqrt[3]{216y^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216y%5E%7B3%7D%7D)
= 6y
∴ The first factor is (7x + 6y)
∵ (7x)² = 49x²
∵ (7x)(6y) = 42xy
∵ (6y)² = 36y²
∴ The second factor is (49x² - 42xy + 36y²)
∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Learn more:
You can learn more about factors in brainly.com/question/10771256
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Answer:
592,000
Step-by-step explanation:
The new dimensions are 500, 280, and 200. Multiply 2(500*280 + 500*200 + 280*200) to get the answer
Answer:
7986
Step-by-step explanation:
66x0.5x(140+102)=7986
Answer:
The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.
Step-by-step explanation:
Since the printer depreciates at a rate of 5% per year, I believe the stated equation is miss typed. Therefore I'll answer this with the correct equation that would represent that setting:
In the first year the value of the printer is:
On the second year the value of the printer is:
On the third year the value of the printer is:
The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.
Answer:
Step-by-step explanation:
First you will have to put the formula of the rectangular rectangle L x W
Making you the answer you will do this
120 x 53 and then you divide the answer with 360 and then multiply 6 x2 and then add it and you get the answer
