Question

(x-2)^3-(x+1)^3 Remove the brackets and simplify The ans is: -9x^2+9x-9 Pls show me ur detailed working

Answer 1

Answer:

Step-by-step explanation:

Therefore, A/q

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

= {(x)^3 - (2)^3 - 3 × x × 2 (x - 2)} - {(x)^3 + (1)^3 + 3 × x × 1 (x + 1)}

= {x^3 - 8 - 6x (x - 2)} - {x^3 + 1 + 3x (x + 1)}

= (x^3 - 8 - 6x^2 + 12x) - (x^3 + 1 + 3x^2 + 3x)

= x^3 - 6x^2 + 12x - 8 - x^3 - 3x^2 - 3x - 1

= x^3 - x^3 - 6x^2 - 3x^2 + 12x - 3x - 8 - 1

= -9x^2 - 9x - 9

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