Math, asked by sahib25798, 9 months ago

If (3x-1)^3+(4x+3)^3+ (2x + 1)^3 =
3 (3x-1) (4x-3) (2x + 1), then x =?​

Answers

Answered by Devdatta2004
3

The answer is attached....

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Attachments:
Answered by jivya678
2

Answer:

The value of  x = -  \frac{1}{3}

Step-by-step explanation:

Standard form of given equation is

a^{3} + b^{3} + c^{3} - 3 abc\\ = 0 ------- (1)

Compare the given equation with the above equation, we get

a = 3 x - 1, b = 4 x + 3, c = 2 x + 1

Now the given equation in the question satisfies the condition of equation 1.

a + b + c = 0

⇒ 3 x - 1 + 4 x + 3 + 2 x + 1 = 0

⇒ 9 x = - 3

x = -  \frac{1}{3}

This is the value of x.

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