Solve (y-1)^3 2(y-1)^2

Evaluate

(y - 1)^{3} \times 2 (y - 1)^{2}

Multiply the terms with the same base by adding their exponents

(y - 1)^{3 + 2} \times 2

Add the numbers

(y - 1)^{5} \times 2

Use the commutative property to reorder the terms

2 (y - 1)^{5}

Expand the expression

2 (y^{5} - 5 y^{4} + 10 y^{3} - 10 y^{2} + 5 y - 1)

Apply the distributive property

2 y^{5} - 2 \times 5 y^{4} + 2 \times 10 y^{3} - 2 \times 10 y^{2} + 2 \times 5 y - 2 \times 1

Multiply the numbers

2 y^{5} - 10 y^{4} + 2 \times 10 y^{3} - 2 \times 10 y^{2} + 2 \times 5 y - 2 \times 1

Multiply the numbers

2 y^{5} - 10 y^{4} + 20 y^{3} - 2 \times 10 y^{2} + 2 \times 5 y - 2 \times 1

Multiply the numbers

2 y^{5} - 10 y^{4} + 20 y^{3} - 20 y^{2} + 2 \times 5 y - 2 \times 1

Multiply the numbers

2 y^{5} - 10 y^{4} + 20 y^{3} - 20 y^{2} + 10 y - 2 \times 1

Solution

2 y^{5} - 10 y^{4} + 20 y^{3} - 20 y^{2} + 10 y - 2

Simplify the expression