Question

simplify (x+y)^3 + (x-y) ^3​

Answer 1

Answer:

2x^3+6xy^2

Step-by-step explanation:

expand, collect like terms

Answer 2

Answer:

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

Step-by-step explanation:

(x+y)^3 + (x-y)^3

Think about Pascal's Triangle to expand these terms:

= (x^3 + 3xy^2 + 3x^2y + y^3) + (x^3 + 3xy^2 - 3x^2y

Combine like terms

= 2x^3 + 6xy^2

Factor:

= (2x)(x^2+3y^2)

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