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Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y-7x)= 7x^2-10y^2-2x What error did Marcus make?


A: He combined the terms 5x and –7x incorrectly.

B: He combined the terms 3x^2 and 4x^2 incorrectly.

C: He combined the terms –2y^2 and 12y^2 incorrectly.

D: He subtracted the polynomials instead of adding.

Verified Answer :

MissPhiladelphia

I believe the correct answer from the choices listed above is option C. The error that Marcus made would be that he combined the terms –2y^2 and 12y^2 incorrectly. It should be 10y^2 when combined not -10y^2. Hope this answers the question.

calculista

we have

\((3x^{2} -2y^{2}+5x)+(4 x^{2}+12y^{2}-7x)\)

Combine like terms

\((3x^{2} -2y^{2}+5x)+(4 x^{2}+12y^{2}-7x)\\=(3x^{2}+4x^{2})+(-2y^{2}+12y^{2})+(5x-7x)\\=7x^{2} +10y^{2}-2x\)

therefore

the answer is the option C

He combined the terms \(-2y^{2}\) and \(12y^{2}\) incorrectly

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