Question

Factorise using a^2 - b^2 = (a+b) (a-b) :
x(x - 2) - y(y-2)​

Answer 1

Answer:

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Step-by-step explanation:

ab(x

2

+y

2

)−xy(a

2

+b

2

)

⇒ abx

2

+aby

2

−a

2

xy−b

2

xy

⇒ abx

2

+b

2

xy+aby

2

−a

2

xy

⇒ bx(ax−by)−ay(ax−by)

⇒ (ax−by)(bx−ay)

Answer 2

Answer:

ab(x2+y2)−xy(a2+b2)

⇒ abx 2+aby 2−a2xy−b 2xy

⇒ abx 2+b 2xy+aby 2 −a 2xy

⇒ bx(ax−by)−ay(ax−by)

⇒ (ax−by)(bx−ay)

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