Question

Using suitable identities, find:

(0.1x^2y - 0.5y^2x) (0.1x^2y - 0.5xy^2)

Answer 1

To simplify the given expression (0.1x^2y - 0.5y^2x) (0.1x^2y - 0.5xy^2), we can use the distributive property of multiplication. By expanding and simplifying the expression, we get 0.01x^4y^2 - 0.1x^3y^3 + 0.25x^2y^4.

Step-by-step explanation:

The given expression is:

(0.1x^2y - 0.5y^2x) (0.1x^2y - 0.5xy^2)

To simplify this expression, we can use the distributive property of multiplication. We distribute the first term of the first expression to both terms of the second expression:

0.1x^2y * 0.1x^2y - 0.1x^2y * 0.5xy^2 - 0.5y^2x * 0.1x^2y + 0.5y^2x * 0.5xy^2

Simplifying each term, we get:

0.01x^4y^2 - 0.05x^3y^3 - 0.05x^3y^3 + 0.25x^2y^4

Combining like terms, we have:

0.01x^4y^2 - 0.1x^3y^3 + 0.25x^2y^4