Question

Factorise the following

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

Answer 1

Answer:

(x-2)(x-y) is correct answer...

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Answer 2

How to solve your question

Your question is

( − 2 ) − ( − 2 )

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

x(x−2)−y(y−2)

Simplify

1

Distribute

( − 2 ) − ( − 2 )

{\color{#c92786}{x(x-2)}}-y(y-2)

x(x−2)−y(y−2)

2 − 2 − ( − 2 )

{\color{#c92786}{x^{2}-2x}}-y(y-2)

x2−2x−y(y−2)

2

Distribute

3

Rearrange terms

Solution

2 − 1 2 − 2 + 2

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