Question

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Help with sum marked as Roman numeral 5.
Algebraic expression Factorisation.

Sum number 5.
See photo.
Please help!

Answer 1

Step-by-step explanation:

x × (x-y) + y-x

x × (x-y) - (x - y)

factor out x-y from the expression..

(x-y) × (x-1)

(x-y) (x-1)..

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Answer 2

(x - y)(x - 1)

Explaination:

relocation:

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

then factor out x:

$x(x - y) + y - x$

then factor out negative sign from:

$x(x - y) - 1(x - y)$

then factor the 2 expressions:

$(x - y)(x - 1)$

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