Solve 3xy^2xy-(3xy-xy) (-5xy xy)

Question

Simplify the expression

3 x^{2} y^{3} + 10 x^{3} y^{3}

Evaluate

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

Rewrite the expression

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

Subtract the terms

More Steps

Simplify

3 x y - x y

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

(3 - 1) x y

Subtract the numbers

2 x y

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

Multiply

More Steps

Multiply the terms

3 x y^{2} x y

Multiply the terms

3 x^{2} y^{2} \times y

Multiply the terms with the same base by adding their exponents

3 x^{2} y^{2 + 1}

Add the numbers

3 x^{2} y^{3}

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

Multiply

More Steps

Multiply the terms

2 x y (- 5) x y x y

Rewrite the expression

- 2 x y \times 5 x y x y

Multiply the terms

- 10 x y x y x y

Multiply the terms with the same base by adding their exponents

- 10 x^{1 + 1 + 1} y \times y \times y

Add the numbers

- 10 x^{3} y \times y \times y

Multiply the terms with the same base by adding their exponents

- 10 x^{3} y^{1 + 1 + 1}

Add the numbers

- 10 x^{3} y^{3}

3 x^{2} y^{3} - (- 10 x^{3} y^{3})

Solution

3 x^{2} y^{3} + 10 x^{3} y^{3}

Show Solution

Factor the expression

x^{2} y^{3} (3 + 10 x)

Evaluate

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

Subtract the terms

More Steps

Simplify

3 x y - x y

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

(3 - 1) x y

Subtract the numbers

2 x y

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

Multiply

More Steps

Multiply the terms

3 x y^{2} x y

Multiply the terms

3 x^{2} y^{2} \times y

Multiply the terms with the same base by adding their exponents

3 x^{2} y^{2 + 1}

Add the numbers

3 x^{2} y^{3}

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

Multiply

More Steps

Multiply the terms

- 5 x y x y

Multiply the terms

- 5 x^{2} y \times y

Multiply the terms

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

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

Multiply the terms

More Steps

Evaluate

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

Multiply the numbers

More Steps

Evaluate

2 (- 5)

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times 5

Multiply the numbers

- 10

- 10 x y x^{2} y^{2}

Multiply the terms

More Steps

Evaluate

x \times x^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{1 + 2}

Add the numbers

x^{3}

- 10 x^{3} y \times y^{2}

Multiply the terms

More Steps

Evaluate

y \times y^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

y^{1 + 2}

Add the numbers

y^{3}

- 10 x^{3} y^{3}

3 x^{2} y^{3} - (- 10 x^{3} y^{3})

Rewrite the expression

3 x^{2} y^{3} + 10 x^{3} y^{3}

Rewrite the expression

x^{2} y^{3} \times 3 + x^{2} y^{3} \times 10 x

Solution

x^{2} y^{3} (3 + 10 x)

Show Solution