Solve 2(x-1)2(x-3)

Question

Simplify the expression

4 x^{2} - 16 x + 12

Evaluate

2 (x - 1) \times 2 (x - 3)

Multiply the terms

4 (x - 1) (x - 3)

Multiply the terms

More Steps

Evaluate

4 (x - 1)

Apply the distributive property

4 x - 4 \times 1

Any expression multiplied by 1 remains the same

4 x - 4

(4 x - 4) (x - 3)

Apply the distributive property

4 x \times x - 4 x \times 3 - 4 x - (- 4 \times 3)

Multiply the terms

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

Multiply the numbers

4 x^{2} - 12 x - 4 x - (- 4 \times 3)

Multiply the numbers

4 x^{2} - 12 x - 4 x - (- 12)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x^{2} - 12 x - 4 x + 12

Solution

More Steps

Evaluate

- 12 x - 4 x

Collect like terms by calculating the sum or difference of their coefficients

(- 12 - 4) x

Subtract the numbers

- 16 x

4 x^{2} - 16 x + 12

Show Solution

Find the roots

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

Evaluate

2 (x - 1) \times 2 (x - 3)

To find the roots of the expression,set the expression equal to 0

2 (x - 1) \times 2 (x - 3) = 0

Multiply the terms

4 (x - 1) (x - 3) = 0

Elimination the left coefficient

(x - 1) (x - 3) = 0

Separate the equation into 2 possible cases

x - 1 = 0 x - 3 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 1 x - 3 = 0

Solve the equation

More Steps

Evaluate

x - 3 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

x = 3

x = 1 x = 3

Solution

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

Show Solution