f(×)= (x+1)3 -(x-1)3 represents a function which is
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Step-by-step explanation:
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The correct answer is that the function is qudratic equation.
Step-by-step explanation:
Given: f(×)= (x+1)3 -(x-1)3
To find:
f(x) = (x + 1)³ – (x – 1)³
We know that, (a + b)3 = a3 + b3 + 3ab(a + b).
(a - b)3 = a3 - 3a2b + 3ab2 - b3
After applying the formulas, we get
= x³+ 3x² + 3x + 1 - [x³ – 3x² + 3x – 1]
= x³ + 3x² + 3x + 1 – x³ + 3x² – 3x + 1
= 6x² + 2
THe highest power of x is 2. therefore, it is a quadratic equation
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