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Exercise

$\left(-2a^3-\left(7-a^3\right)\right)-\left(-4\left(-2a^3\right)\right)+4a^3$

Step-by-step Solution

1

Combining like terms $-2a^3$ and $-8a^3$

$-10a^3-\left(7-a^3\right)+4a^3$
2

Combining like terms $-10a^3$ and $4a^3$

$-6a^3-\left(7-a^3\right)$
3

Simplify the product $-(7-a^3)$

$-6a^3-7+a^3$
4

Combining like terms $-6a^3$ and $a^3$

$-5a^3-7$

Final answer to the exercise

$-5a^3-7$

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$5a-6b+8c+9a-20c-b+6b-c$

$5a+2b-3a+4$

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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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