Solve x^2(x-1) 25(1-x)

Evaluate

x^{2} (x - 1) \times 25 (1 - x)

Use the commutative property to reorder the terms

25 x^{2} (x - 1) (1 - x)

Multiply the terms

25 x^{2} (- (x - 1)^{2})

Use the commutative property to reorder the terms

x^{2} (- 25) (x - 1)^{2}

Use the commutative property to reorder the terms

- 25 x^{2} (x - 1)^{2}

Expand the expression

More Steps

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

Apply the distributive property

- 25 x^{2} \times x^{2} - (- 25 x^{2} \times 2 x) - 25 x^{2} \times 1

Multiply the terms

More Steps

- 25 x^{4} - (- 25 x^{2} \times 2 x) - 25 x^{2} \times 1

Multiply the terms

More Steps

- 25 x^{4} - (- 50 x^{3}) - 25 x^{2} \times 1

Any expression multiplied by 1 remains the same

- 25 x^{4} - (- 50 x^{3}) - 25 x^{2}

Solution

- 25 x^{4} + 50 x^{3} - 25 x^{2}

X^2(x 1) 25(1 X)