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lisabon 2012 [21]
3 years ago
9

Add or subtract the polynomials (8x3+3x-2)+(9x2-7+3x-2x3)

Mathematics
2 answers:
crimeas [40]3 years ago
4 0

Answer:

10x^3+9x^2-9

Step-by-step explanation:

8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms

10x^3+9x^2-9

LekaFEV [45]3 years ago
3 0

Answer:

\boxed{\boxed{\sf 6x^3+9x^2+6x-9}}

Step-by-step explanation:

\sf \left(8x^3+3x-2\right)+\left(9x^2-7+3x-2x^3\right)

\sf 8x^3+3x-2+9x^2-7+3x-2x^3

Note: If there is a negative sign in front of  parentheses, each term within the expression changes sign.

\Longrightarrow \sf 8x^3+3x-2+9x^2-7+3x-2x^3

Now, we need to organize expression into groups like terms:

\Longrightarrow \sf (8x^3, -2x^3)\: (3x, 3x)\:(-2,-7)

\longmapsto\sf 8x^3-2x^3=6x^3

\longmapsto\sf 3x+3x=6x

\longmapsto\sf -2-7=-9

\boxed{\sf 6x^3+9x^2+6x-9}

_____________________________

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