Answer :

He combined the like terms 2y2 and –3yincorrectly.

Answer:

Kendall combine like terms [tex]2y^2[/tex] and [tex]-3y^2[/tex] incorrectly.

Step-by-step explanation:

It is given that Kendall says the sum of [tex]6x^2+4xy+2y^2[/tex] and [tex]4x^2-2xy-3y^2[/tex] is [tex]10x^2+2xy-5y^2[/tex].

Step 1: Add both expression

[tex]6x^2+4xy+2y^2+4x^2-2xy-3y^2[/tex]

Step 2: Combine like terms

[tex](6x^2+4x^2)+(4xy-2xy)+(2y^2-3y^2)[/tex]

Step 3: Simplify

[tex]10x^2+2xy-y^2[/tex]

The sum of both expressions is [tex]10x^2+2xy-y^2[/tex].

Kendall made an error during step 3. His mistake is

[tex]2y^2-3y^2=-5y^2[/tex]

Therefore, Kendall combine like terms [tex]2y^2[/tex] and [tex]-3y^2[/tex] incorrectly.

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