Question

What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

Answer 1

b

Explanation:

Answer 2

`√(x^2y^3)+2√(x^3y^4)+xy√(y)=2xy^2√(x)+2xy√(y)`

Hence, ption B is true.

Explanation:

Given the expression

`√(x^2y^3)+2√(x^3y^4)+xy√(y)`

solving the expression

`√(x^2y^3)+2√(x^3y^4)+xy√(y)`

as

`√(x^2y^3)=xy√(y)`

`2√(x^3y^4)=2xy^2√(x)`

so the expression becomes

`\:√(x^2y^3)+2√(x^3y^4)+xy√(y)=xy√(y)+2xy^2√(x)+xy√(y)`

Group like terms

`=2xy^2√(x)+xy√(y)+xy√(y)`

Add similar elements

`=2xy^2√(x)+2xy√(y)`

Therefore, we conclude that:

`√(x^2y^3)+2√(x^3y^4)+xy√(y)=2xy^2√(x)+2xy√(y)`

Hence, option B is true.