Question

( x-2 )³ - ( x+1 ) ³​

Answer 1

Answer:

-2x^3-1

Step-by-step explanation:

(x-2)^3-(X+1)^3

x^3-2^3-x^3-1^3

x^3-x^3-2x^3-1^3

-2x^3-1^3

-2x^3-1

Answer 2

AnswEr :-

• Value of the equation is x² - x + 1

Given :-

• (x - 2)³ - (x + 1)³

Formula used :-

• (a + b)³ = a³ + b³ + 3ab (a + b)

• (a - b)³ = a³ - b³ - 3ab (a - b)

Solution :-

» (x - 2)³ - (x + 1)³

→ (x)³ - (2)³ - 3.x.2 (x - 2) - { (x)³ + (1)³ + 3.x.1 (x + 1)

→ x³ - 8 - 6x² + 12x - { x³ + 1 + 3x² + 3x }

→ x³ - 8 - 6x² + 12x - x³ - 1 - 3x² - 3x

→ - 8 - 6x² + 12x - 1 - 3x² - 3x

→ - 6x² - 3x² + 12x - 3x - 8 - 1

→ - 9x² + 9x - 9

→ - x² + x - 1

→ x² - x + 1

Hence the value of the equation is x² - x + 1

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