Expand this equation (x+delta x) ^3

Question

Jay

Mathematics

25 September, 15:47

Expand this equation (x+delta x) ^3

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Darnell Mays · Answer 1

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

(x + delta-X) ^3 = (x + delta-X) ^2 (x + delta-X)

= (x^2 + 2 x delta-X + delta-X^2) (x + delta-X)

= (x^2 + 2x delta-X + delta-X^2) * x + (x^2 + 2x delta-X + delta-X^2) * delta-X

= x^3 + 2x^2 delta-X + x delta-X^2 + x^2 delta-X + 2x delta-X^2 + delta-X^3

= x^3 + 3x^2 delta-X + 3 x delta-X^2 + delta-X^3

(nC0) a^n + (nC1) a^ (n-1) b + (nC2) a^ (n-2) b^2 + ... (nCn-1) a b^ (n-1) + (nCn) b^n