What is expand (y-1)(4y^2-3y+1) ?

The solution to expand (y-1)(4y^2-3y+1) is 4y^3-7y^2+4y-1

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expand (y-1)(4y^2-3y+1)

expand

(y - 1) (4 y^{2} - 3 y + 1)

4 y^{3} - 7 y^{2} + 4 y - 1

Solution steps

(y - 1) (4 y^{2} - 3 y + 1)

Distribute parentheses

= y \cdot 4 y^{2} + y (- 3 y) + y \cdot 1 - 1 \cdot 4 y^{2} - 1 \cdot (- 3 y) - 1 \cdot 1

Simplify

y \cdot 4 y^{2} + y (- 3 y) + y \cdot 1 - 1 \cdot 4 y^{2} - 1 \cdot (- 3 y) - 1 \cdot 1 : 4 y^{3} - 7 y^{2} + 4 y - 1

= 4 y^{3} - 7 y^{2} + 4 y - 1

5 a^{2} x - 5 a^{2} m - 10 a^{2}

3 a^{2} b - 12 b

(x + y - 1)^{2} - (x - y + 1)^{2}

p (x) + 5 (x)

f (x) + 6

What is expand (y-1)(4y^2-3y+1) ?
The solution to expand (y-1)(4y^2-3y+1) is 4y^3-7y^2+4y-1