Answered

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

Sagot :

Jets200

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

Answer:

[tex]\boxed{\boxed{\sf 6x^3+9x^2+6x-9}}[/tex]

Step-by-step explanation:

[tex]\sf \left(8x^3+3x-2\right)+\left(9x^2-7+3x-2x^3\right)[/tex]

[tex]\sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

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

[tex]\Longrightarrow \sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

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

[tex]\Longrightarrow \sf (8x^3, -2x^3)\: (3x, 3x)\:(-2,-7)[/tex]

[tex]\longmapsto\sf 8x^3-2x^3=6x^3[/tex]

[tex]\longmapsto\sf 3x+3x=6x[/tex]

[tex]\longmapsto\sf -2-7=-9[/tex]

[tex]\boxed{\sf 6x^3+9x^2+6x-9}[/tex]

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