Expand and simplify $2x-3(2x-5).$ Answer _ Factorise completely $x^{2}-y^{2}-2x+2y$ . Answer _

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Worked solution

1. Expand the bracket and simplify like terms

$2x-3(2x-5)=2x-6x+15=-4x+15$

Answer

$-4x+15$

1. Group the expression to create common factors

$x^{2}-y^{2}-2x+2y=(x^{2}-y^{2})-2(x-y)$

2. Factorise completely by extracting the common factor

$(x^{2}-y^{2})-2(x-y)=(x-y)(x+y)-2(x-y)

$=(x-y)(x+y-2)$

Answer

$(x-y)(x+y-2)$

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