Solve (2x-5)(2x-5)(x-1)(x 1)

Question

Simplify the expression

4 x^{4} - 24 x^{3} + 45 x^{2} - 25 x

Evaluate

(2 x - 5) (2 x - 5) (x - 1) (x \times 1)

Remove the parentheses

(2 x - 5) (2 x - 5) (x - 1) x \times 1

Any expression multiplied by 1 remains the same

(2 x - 5) (2 x - 5) (x - 1) x

Multiply the first two terms

(2 x - 5)^{2} (x - 1) x

Expand the expression

More Steps

(4 x^{2} - 20 x + 25) (x - 1) x

Multiply the terms

More Steps

(4 x^{3} - 24 x^{2} + 45 x - 25) x

Apply the distributive property

4 x^{3} \times x - 24 x^{2} \times x + 45 x \times x - 25 x

Multiply the terms

More Steps

4 x^{4} - 24 x^{2} \times x + 45 x \times x - 25 x

Multiply the terms

More Steps

4 x^{4} - 24 x^{3} + 45 x \times x - 25 x

Solution

4 x^{4} - 24 x^{3} + 45 x^{2} - 25 x

Show Solution

x_{1} = 0, x_{2} = 1, x_{3} = \frac{5}{2}

Alternative Form

x_{1} = 0, x_{2} = 1, x_{3} = 2.5

Show Solution