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

Question

Simplify the expression

- x^{2} + 4 x - 3

Evaluate

- (x - 3) (x - 1)

Calculate

(- x + 3) (x - 1)

Apply the distributive property

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

Multiply the terms

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

Any expression multiplied by 1 remains the same

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

Any expression multiplied by 1 remains the same

- x^{2} - (- x) + 3 x - 3

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

- x^{2} + x + 3 x - 3

Solution

More Steps

Evaluate

x + 3 x

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

(1 + 3) x

Add the numbers

4 x

- x^{2} + 4 x - 3

Show Solution

Find the roots

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

Evaluate

- (x - 3) (x - 1)

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

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

Calculate

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

Change the sign

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

Separate the equation into 2 possible cases

x - 3 = 0 x - 1 = 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 = 3 x - 1 = 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 = 3 x = 1

Solution

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

Show Solution