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Mathematics 12 Online
OpenStudy (anonymous):

(5xy^2 + 3x^2y - 2y^2) - ( -7x^2y - 6xy^2 + y^2) simplify

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (solomonzelman):

\(\large\color{black}{ (5xy^2 + 3x^2y - 2y^2)- ( -7x^2y - 6xy^2 + y^2) }\)

OpenStudy (solomonzelman):

lets do this, \(\large\color{black}{ 5xy^2 + 3x^2y - 2y^2- ( -7x^2y) - (-6xy^2) -( y^2) }\) . Do you agree with what I have done here?

OpenStudy (anonymous):

Yes

OpenStudy (solomonzelman):

So, now simplify the parts I"ll label in red. \(\large\color{black}{ 5xy^2 + 3x^2y - 2y^2\color{red}{- -}7x^2y \color{red}{- -}6xy^2 \color{black}{- }y^2 }\).

OpenStudy (solomonzelman):

the 2 negatives, become what? (re-write the equation, now)

OpenStudy (anonymous):

positive

OpenStudy (solomonzelman):

yes, so it becomes, \(\large\color{black}{ 5xy^2 + 3x^2y - 2y^2\color{red}{+}7x^2y \color{red}{+}6xy^2 \color{black}{- }y^2 }\)

OpenStudy (anonymous):

Then combine like terms

OpenStudy (solomonzelman):

And then, the like terms, are \(\large\color{black}{ \color{blue}{5xy^2} \color{red}{+ 3x^2y} \color{green}{- 2y^2} \color{red}{+7x^2y} \color{blue}{+6xy^2} \color{green}{-y^2} }\)

OpenStudy (solomonzelman):

Sorry it took long to color them.

OpenStudy (anonymous):

11xy^2 + 10x^2y + 2y^2?

OpenStudy (solomonzelman):

\(\large\color{black}{ \color{blue}{11xy^2} \color{red}{+ 10x^2y} \color{green}{- 2y^2} \color{green}{-y^2} }\)

OpenStudy (solomonzelman):

one term has an incorrect coefficient.

OpenStudy (solomonzelman):

\(\large\color{black}{ \color{green}{- 2y^2} \color{green}{-y^2} \ne2y^2}\) right?

OpenStudy (anonymous):

Yes didnt i have that

OpenStudy (solomonzelman):

you said that the ;ast term is +2y^2, when it is -3y^2.

OpenStudy (swagster23780):

smiley2015 your hot

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