jmc

Question

Simplify the following: (2y-1)(4y^10+2y^9+4y^8+2y^7). Express your answer as a polynomial with the degrees of the terms in decreasing order.

Accepted Answer

We distribute and simplify: align* & (2y-1)(4y^10+2y^9+4y^8+2y^7) =& 2y(4y^10+2y^9+4y^8+2y^7)-(4y^10+2y^9+4y^8+2y^7) =& 8y^11+4y^10+8y^9+4y^8 &-4y^10-2y^9-4y^8-2y^7. align*We are left with 8y^11+6y^9-2y^7.