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Which expression shows the sum of the polynomials with like terms grouped together? 10x^2y+2xy^2-4x^2y

Verified Answer :

taskmasters

first find the similar term, the similar term is x^2y.
10x^2y + 2xy^2- 4x^2y

group together the similar term and place them in a parenthesis
then perform the operation to simplify the expression.
= (10x^2y - 4x^2y
) + 2xy^2
= ( 6x^2y ) + 2xy^2
= 6x^2y + 2xy^2 is the sum of the polynomial





aksnkj

The given polynomial can be simplified by grouping similar terms. The simplified form of the polynomial by grouping the same terms is \(6x^2y+2xy^2\).

Given:

The given expression is \(10x^2y+2xy^2-4x^2y\).

Now, simplifying polynomial involves grouping similar terms or expressions.

In the given expression, term \(x^2y\) is used two times which can be grouped together.

The simplified expression can be written as,

\(10x^2y+2xy^2-4x^2y=10x^2y-4x^2y+2xy^2\\=(10-4)(x^2y)+2xy^2\\=6x^2y+2xy^2\)

Therefore, the simplified form of the polynomial by grouping the same terms is \(6x^2y+2xy^2\).

For more details, refer to the link:

https://brainly.com/question/14263780

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