(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Group of answer choices

–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5

–6x4y – 2x3y2 – x2y3 – 3xy4 – y5

–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5

–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

First we have to remove the brackets and change the signs in front of the monomials when there is a negative sign in front of the brackets: ( - 2 x³ y² + 4 x²y³ - 3 x y^4 ) - ( 6 x^4 y - 5 x² y³ - y^5 ) == - 2 x³ y² + 4 x² y³ - 3 x y^4 - 6 x^4 y + 5 x² y³ + y^5 = = - 6 x^4 y - 2 x³ y² + 9 x² y³ - 3 x y^4 + y^5. A )

We have to calculate the difference of the given polynomials, we follows as:

After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.

=

Combining all the like terms, we get as

=

=

Option A is the correct answer.

For this case we have the following subtraction of polynomials:

Grouping similar terms, we have:

Rewriting the polynomial we have:

Finally, rearranging terms we have:

the difference of the polynomials is:

A.

Step-by-step explanation:

Given

Required

Evaluate

We start by opening both brackets

Collect like terms

The expression can't be simplified further; Hence, the result of the difference between both polynomial is

Step-by-step explanation:

We are given that an expression

We have to find the difference of the given expression.

Open the bracket then, we get

Combine like terms

Then, we get

Hence, option first is true.

First option is correct.

Step-by-step explanation:

Since we have given that

1) Open a bracket with the sign changed to the second expression within the brackets:

2) Gather the like terms together:

Hence, First option is correct.

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