Question

factorise ab(x²+y²)-xy(a²+b²)​

Answer 1

Step-by-step explanation:

Given :-

ab(x²+y²)-xy(a²+b²)

To find:-

factorise ab(x²+y²)-xy(a²+b²)

Solution:-

Given expression is ab(x²+y²)-xy(a²+b²)

=>abx²+aby²-xya²-xyb²

=>(abx²-xya²)+(aby²-xyb²)

=>ax(bx-ya)+by(ay-bx)

=>ax(bx-ay)-by(bx-ay)

=>(bx-ay)(ax-by)

=>(ax-by)(bx-ay)

Answer:-

ab(x²+y²)-xy(a²+b²)=(ax-by)(bx-ay)