Question

factorising expression by grouping x³y+xy³+x²+y²​

Answer 1

Answer:

$( {x}^{2} + {y}^{2} )(xy + 1)$

Step-by-step explanation:

Given:-

${x}^{3} y + x {y}^{3} + {x}^{2} + {y}^{2}$

${x}^{3} y + x {y}^{3} + {x}^{2} + {y}^{2} \\ \\ make \: a \: pair \: and \: take \: common \\ \\ xy( {x}^{2} + {y}^{2} ) + 1( {x}^{2} + {y}^{2} ) \\ \\ ( {x}^{2} + {y}^{2} )(xy + 1)$

Answer 2

Step-by-step explanation:

Given Factorising expression by grouping x³y+xy³+x²+y²

• We need to factorise by grouping the given expression.
• So given x^3y + xy^3 + x^2 + y^2
•           = x^3y + x^2 + xy^3 + y^2
• By taking x^2 and y^2 common we get
• Or       x^2 (xy + 1) + y^2(xy + 1)

Or (xy + 1) (x^2 + y^2)  

Reference link will be

https://brainly.in/question/6274334