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Answers
Here we are given with two equations and a certain question that how much should equation 1 be decreased to get equation 2?
- Equation 1 = a⁴ + 2a² - 3a + 7
- Equation 2 = a³ + a² + a - 1
For determining the above decrement by equation 1, we need to subtract Equation 2 from Equation 1:
➝ Equation 1 - Equation 2
➝ a⁴ + 2a² - 3a + 7 - (a³ + a² + a - 1)
➝ a⁴ + 2a² - 3a + 7 - a³ - a² - a + 1
Combining the like terms (same degree):
➝ a⁴ - a³ + (2a² - a²) + (-3a - a) + 7 + 1
➝ a⁴ - a³ + a² - 4a + 8
Thus, when Equation 1 is decreased by a⁴ - a³ + a² - 4a + 8, we will get Equation 2. And we are done !!!
Step-by-step explanation:
In question we have to given two equation .
- two equation
- equation 1:
- equation 2 :
- how much should equation 1 be decreased to get equation 2.
the given equations:
- Equation 1 = a⁴ + 2a² - 3a + 7
- Equation 2 = a³ + a² + a - 1
- firstly , we need to subtract equation 2 from equation 1
➝ Equation 1 - Equation 2
➝ a⁴ + 2a² - 3a + 7 - (a³ + a² + a - 1)
➝ a⁴ + 2a² - 3a + 7 - a³ - a² - a + 1
now we combine like terms in the given expression:
- a⁴ - a³ + (2a² - a²) + (-3a - a) + 7 + 1
let see the combination of like term a⁴ - a³ + a² - 4a + 8
Thus, when Equation 1 is decreased by a⁴ - a³ + a² - 4a + 8, we will get Equation 2.
thanks