Question

Find the product of (x+y)(x-y)(x^2+xy)

Answer 1

To find the product of (x+y)(x-y)(x^2+xy), we can use the distributive property of multiplication and simplify the expression step by step:

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

= (x^2 - y^2)(x^2+xy) // using the formula for the difference of squares: (a+b)(a-b) = a^2 - b^2

= x^4 + x^3y - x^2y^2 - xy^3 // multiplying the two expressions using distributive property

So the product of (x+y)(x-y)(x^2+xy) is equal to x^4 + x^3y - x^2y^2 - xy^3.

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