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

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Type your math problem... (x-2y)(x-3y)

x

Question

Simplify the expression

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

Evaluate

(x - 2 y) (x - 3 y)

Apply the distributive property

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

Multiply the terms

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

Use the commutative property to reorder the terms

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

Multiply the terms

More Steps

Evaluate

- 2 y \times 3 y

Multiply the numbers

- 6 y \times y

Multiply the terms

- 6 y^{2}

x^{2} - 3 x y - 2 y x - (- 6 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} - 3 x y - 2 y x + 6 y^{2}

Solution

More Steps

Evaluate

- 3 x y - 2 y x

Rewrite the expression

- 3 x y - 2 x y

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

(- 3 - 2) x y

Subtract the numbers

- 5 x y

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

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