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Exercise

$\left(10x^3+5x^2-3x-3-11\right)+\left(2x^3-x^2+3x+8\right)$

Step-by-step Solution

1

Subtract the values $-3$ and $-11$

$10x^3+5x^2-3x-14+2x^3-x^2+3x+8$
2

Subtract the values $8$ and $-14$

$10x^3+5x^2-3x-6+2x^3-x^2+3x$
3

Combining like terms $10x^3$ and $2x^3$

$12x^3+5x^2-3x-6-x^2+3x$
4

Combining like terms $5x^2$ and $-x^2$

$12x^3+4x^2-3x-6+3x$
5

Cancel like terms $-3x$ and $3x$

$12x^3+4x^2-6$

Final answer to the exercise

$12x^3+4x^2-6$

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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