Question

x³-x² =(x - 1)³write whether the
equation is quadratic polynomial​

Answer 1

Answer:

Yes it is quadratic polynomial

Step-by-step explanation:

Using ,

(a-b)³=a³ -b³ -3* a* b(a-b)

x³-x² =x³ - 1 - 3*x*1(x-1)

x³-x² =x³-1-3x²+3x

Cancelling {x}^{3} from both sides

-x²= -1-3x² +3x

2x²-3x+1=0

So, this is quadratic polynomial as it is of form ax²+bx+c=0

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Answer 2

x³-x²=( x-1)³

x³-x²=x³+(-1)³+3(x)²(-1)+3(x)(-1)²

x³-x²=x³-1-3x²+3x

x³-x²-x³+1+3x²-3x=0

2x²-3x +1= 0

It is the form of ax²+bx +c = 0

Therefore,It is a quadratic equation.