Question

(y-1)(y^3-2y^2+3y-4)-(2y-3)(y^2-y+1)​

Answer 1

(y−1)(y^3 −2y^2 +3y−4)−(2y−3)(y^2 −y+1)

Use the distributive property to multiply y−1 by y

3 −2y 2 +3y−4 and combine like terms.y 4 −3y 3+5y 2 −7y+4−(2y−3)(y 2 −y+1)

Use the distributive property to multiply 2y−3 by y2 −y+1 and combine like terms.y 4 −3y 3 +5y 2−7y+4−(2y 3 −5y 2 +5y−3)

To find the opposite of 2y

3 −5y 2 +5y−3, find the opposite of each term.y 4−3y 3 +5y 2−7y+4−2y 3 +5y 2 −5y+3Combine−3y 3 and −2y 3 toget−5y .y4−5y

3 +5y 2 −7y+4+5y 2 −5y+3Combine 5y 2 and5y2

to get 10y 2y 4 −5y 3 +10y 2 −7y+4−5y+3

Combine −7y and −5y to get −12y.y 4 −5y 3 +10y 2

−12y+4+3

Add 4 and 3 to get 7.y 4 −5y 3 +10y 2 −12y+7