Question

. Simplify each of the following:
(i) (x + 3)^3 + (x – 3)^3​

Answer 1

We know that

(a)^3 + (b)^3 = (a + b)*(a^2 + b^2 + ab)

From the given question we can consider

a = x + 3 & b = x - 3

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

(x + 3)^3 + (x - 3)^3 = (2x)*((x^2 + 2*3*x + 3^2) + (x ^2 - 2*3*x + 3^2) + (x^2 - 9))

(x + 3)^3 + (x - 3)^3 = (2x)*(3x^2 + 2*3^2 - 9)

(x + 3)^3 + (x - 3)^3 = (2x)*(3x^2 + 18 - 9)

(x + 3)^3 + (x - 3)^3 = (2x)*(3x^2 + 9)

(x + 3)^3 + (x - 3)^3 = (6x^3 + 18x) ——> Answer

Answer 2

Step-by-step explanation:

hope it will u.. all.....

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