Question

Simplify. (a-36)^3+(a+36)^3​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(a - 36)^3 + (a + 36)^3

Applying x^3 + y^3 = (x + y)(x^2 + y^2 − xy)

where x = (a - 36) and y = (a + 36)

= ((a-36) + (a+36))((a-36)^2 + (a+36)^2 - (a-36)(a+36))

= (2a)((a^2+1296-72a) + (a^2+1296+72a) - (a^2 -1296-36a+36a))

= (2a)(a^2+1296-72a+a^2+1296+72a-a^2+1296)

collecting like terms:

=(2a)(a^2+3888)