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Here's another one:

4w^6 ( 3w^2 + w - 1 ) = 12w^8 + 4w^7 - 4w^6


YOUR TURN:

Multiply

10x^3 ( 2x^5 + 1 - 3x^2 + x )


Here's a harder one -- we'll have two letters to keep track of:

2xy^3 ( 3 - x^2 +7xy^5 + y ) = 6xy^3 - 2(x^3)(y^3) + 14(x^2)(y^8) + 2xy^4


TRY IT:

Multiply

4(x^2)(w^5) ( w - x^2 + 6xw^2 - 1 + 3(x^4)(w^8) )