Solve 4xy - [(x^2+5xy-y^2) -(x^2+3xy-2y^2)]

Question

Simplify the expression

2 x y - y^{2}

Evaluate

4 x y - ((x^{2} + 5 x y - y^{2}) - (x^{2} + 3 x y - 2 y^{2}))

Remove the parentheses

4 x y - (x^{2} + 5 x y - y^{2} - (x^{2} + 3 x y - 2 y^{2}))

Subtract the terms

More Steps

Simplify

x^{2} + 5 x y - y^{2} - (x^{2} + 3 x y - 2 y^{2})

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} + 5 x y - y^{2} - x^{2} - 3 x y + 2 y^{2}

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 + 5 x y - y^{2} - 3 x y + 2 y^{2}

Remove 0

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

Subtract the terms

More Steps

Evaluate

5 x y - 3 x y

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

(5 - 3) x y

Subtract the numbers

2 x y

2 x y - y^{2} + 2 y^{2}

Add the terms

More Steps

Evaluate

- y^{2} + 2 y^{2}

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

(- 1 + 2) y^{2}

Add the numbers

y^{2}

2 x y + y^{2}

4 x y - (2 x y + y^{2})

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 y - 2 x y - y^{2}

Solution

More Steps

Evaluate

4 x y - 2 x y

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

(4 - 2) x y

Subtract the numbers

2 x y

2 x y - y^{2}

Show Solution

Factor the expression

y (2 x - y)

Evaluate

4 x y - ((x^{2} + 5 x y - y^{2}) - (x^{2} + 3 x y - 2 y^{2}))

Remove the parentheses

4 x y - (x^{2} + 5 x y - y^{2} - (x^{2} + 3 x y - 2 y^{2}))

Subtract the terms

More Steps

Simplify

x^{2} + 5 x y - y^{2} - (x^{2} + 3 x y - 2 y^{2})

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} + 5 x y - y^{2} - x^{2} - 3 x y + 2 y^{2}

The sum of two opposites equals 0

More Steps

Evaluate

x^{2} - x^{2}

Collect like terms

(1 - 1) x^{2}

Add the coefficients

0 \times x^{2}

Calculate

0

0 + 5 x y - y^{2} - 3 x y + 2 y^{2}

Remove 0

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

Subtract the terms

More Steps

Evaluate

5 x y - 3 x y

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

(5 - 3) x y

Subtract the numbers

2 x y

2 x y - y^{2} + 2 y^{2}

Add the terms

More Steps

Evaluate

- y^{2} + 2 y^{2}

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

(- 1 + 2) y^{2}

Add the numbers

y^{2}

2 x y + y^{2}

4 x y - (2 x y + y^{2})

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 y - 2 x y - y^{2}

Subtract the terms

More Steps

Evaluate

4 x y - 2 x y

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

(4 - 2) x y

Subtract the numbers

2 x y

2 x y - y^{2}

Calculate

2 y x - y^{2}

Rewrite the expression

y \times 2 x - y \times y

Solution

y (2 x - y)

Show Solution