Solve (a b)(2x-y)-(a b)(4x-3y)

Question

Simplify the expression

- 2 ab x + 2 ab y

Evaluate

ab (2 x - y) - ab (4 x - 3 y)

Expand the expression

More Steps

Calculate

ab (2 x - y)

Apply the distributive property

ab \times 2 x - ab y

Use the commutative property to reorder the terms

2 ab x - ab y

2 ab x - ab y - ab (4 x - 3 y)

Expand the expression

More Steps

Calculate

- ab (4 x - 3 y)

Apply the distributive property

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

Multiply the numbers

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

Multiply the numbers

- 4 ab x - (- 3 ab y)

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 ab x + 3 ab y

2 ab x - ab y - 4 ab x + 3 ab y

Subtract the terms

More Steps

Evaluate

2 ab x - 4 ab x

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

(2 - 4) ab x

Subtract the numbers

- 2 ab x

- 2 ab x - ab y + 3 ab y

Solution

More Steps

Evaluate

- ab y + 3 ab y

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

(- 1 + 3) ab y

Add the numbers

2 ab y

- 2 ab x + 2 ab y

Show Solution

Factor the expression

- 2 ab (x - y)

Evaluate

ab (2 x - y) - ab (4 x - 3 y)

Rewrite the expression

ab (2 x - y) + ab (- 4 x + 3 y)

Factor out ab from the expression

ab (2 x - y - 4 x + 3 y)

Factor the expression

More Steps

Evaluate

2 x - y - 4 x + 3 y

Subtract the terms

More Steps

Evaluate

2 x - 4 x

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

(2 - 4) x

Subtract the numbers

- 2 x

- 2 x - y + 3 y

Add the terms

More Steps

Evaluate

- y + 3 y

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

(- 1 + 3) y

Add the numbers

2 y

- 2 x + 2 y

Factor the expression

- 2 (x - y)

ab (- 2) (x - y)

Solution

- 2 ab (x - y)

Show Solution