Question

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

Answer 1

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 2

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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