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(x+2)³=2x(x²-1) Give me answer

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(x+2)³=2x(x²-1) Give me answer

Posted by Gupta Binita 4 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 4 years, 10 months ago

We know that the general form of quadratic equation is ax²+bx+c=0.

The given equation is (x+2)³=2x(x²−1) can be simplified as follows:

(x+2)³= 2x(x²−1)
⇒x³+2³+(3×x×2)( x+2)=2x³−2x (∵(a+b)³=a³+b³+3ab(a+b))

⇒x³+8+6x(x+2)=2x³−2x
⇒x³+8+6x₂+12x=2x³−2x
⇒x³+8+6x²+12x−2x³+2x=0
⇒−x³+6x²+14x+8=0

Since the variable x in the equation −x³+6x²+14x+8=0 has degree 3, therefore, it is not of the form ax²+bx+c=0.

Hence, the equation (x+2)³=2x(x²−1) is not a quadratic equation.

0Thank You

Gupta Binita 4 years, 10 months ago

thank u

0Thank You

Gaurav Seth 4 years, 10 months ago

2Thank You

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