Solve (x-2y z-2)(x-3y z-3)

Evaluate

(x - 2 yz - 2) (x - 3 yz - 3)

Apply the distributive property

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

Multiply the terms

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

Use the commutative property to reorder the terms

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

Use the commutative property to reorder the terms

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

Multiply the terms

More Steps

x^{2} - 3 x yz - 3 x - 2 yz x - (- 6 y^{2} z^{2}) - (- 2 yz \times 3) - 2 x - (- 2 \times 3 yz) - (- 2 \times 3)

Multiply the numbers

x^{2} - 3 x yz - 3 x - 2 yz x - (- 6 y^{2} z^{2}) - (- 6 yz) - 2 x - (- 2 \times 3 yz) - (- 2 \times 3)

Multiply the numbers

x^{2} - 3 x yz - 3 x - 2 yz x - (- 6 y^{2} z^{2}) - (- 6 yz) - 2 x - (- 6 yz) - (- 2 \times 3)

Multiply the numbers

x^{2} - 3 x yz - 3 x - 2 yz x - (- 6 y^{2} z^{2}) - (- 6 yz) - 2 x - (- 6 yz) - (- 6)

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} - 3 x yz - 3 x - 2 yz x + 6 y^{2} z^{2} + 6 yz - 2 x + 6 yz + 6

Subtract the terms

More Steps

x^{2} - 5 x yz - 3 x + 6 y^{2} z^{2} + 6 yz - 2 x + 6 yz + 6

Subtract the terms

More Steps

x^{2} - 5 x yz - 5 x + 6 y^{2} z^{2} + 6 yz + 6 yz + 6

Solution

More Steps

x^{2} - 5 x yz - 5 x + 6 y^{2} z^{2} + 12 yz + 6

Simplify the expression