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Mathematics

Multiply :

2y - 4y3 + 6y5 by y2 + y - 3

Algebraic Expressions

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Answer

(2y - 4y3 + 6y5) x (y2 + y - 3)

= 2y x (y2 + y - 3) - 4y3 x (y2 + y - 3) + 6y5 x (y2 + y - 3)

= 2y(1+2) + 2y(1+1) - 6y - 4y(3+2) - 4y(3+1) + 12y3 + 6y(5+2) + 6y(5+1) - 18y5

= 2y3 + 2y2 - 6y - 4y5 - 4y4 + 12y3 + 6y7 + 6y6 - 18y5

= 6y7 + 6y6 - 18y5 - 4y5 - 4y4 + 12y3 + 2y3 + 2y2 - 6y

= 6y7 + 6y6 - 22y5 - 4y4 + 14y3 + 2y2 - 6y

Hence, (2y - 4y3 + 6y5) x (y2 + y - 3) = 6y7 + 6y6 - 22y5 - 4y4 + 14y3 + 2y2 - 6y

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