Question

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

Answer 1

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

Answer 2

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 $6x^2y+2xy^2$.

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