Question

Factorize: ab(x2 + y2
) + xy(a2 + b2
).​

Answer 1

Answer:

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

Step-by-step explanation: