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Exercise

$\left(q^5-2q^4+q^3-q\right)-\left(2q^3+q^2+q\right)$

Step-by-step Solution

1

Simplify the product $-(2q^3+q^2+q)$

$q^5-2q^4+q^3-q-2q^3-\left(q^2+q\right)$
2

Simplify the product $-(q^2+q)$

$q^5-2q^4+q^3-q-2q^3-q^2-q$
3

Combining like terms $q^3$ and $-2q^3$

$q^5-2q^4-q^3-q-q^2-q$
4

Combining like terms $-q$ and $-q$

$q^5-2q^4-q^3-2q-q^2$

Final answer to the exercise

$q^5-2q^4-q^3-2q-q^2$

Try other ways to solve this exercise

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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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