Click and drag like terms onto each other to simplify fully. -4x^(2)-x^(2)-2-4x-2y^(3)-3x^(2)-5x

Identify Terms: Identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers. In the given expression, the like terms are those that contain $ x^2 $, those that contain $ x $, and the constant terms (numbers without variables).Combine x^2 Terms: Combine the $ x^2 $ terms. We have $-4x^2$, $-x^2$, and $-3x^2$. Combining these gives us: $-4x^2 - x^2 - 3x^2 = -8x^2$Combine x Terms: Combine the $ x $ terms. There is only one term with $ x $, which is $-4x$. So, there is nothing to combine here, and we just bring down the $-4x$.Combine Constant Terms: Combine the constant terms. We have $-2$ and no other constant terms to combine with it, so we just bring down the $-2$.Combine Other Like Terms: Identify and combine any other like terms. We have a term with $ y^3 $, which is $-2y^3$, and there are no other terms with $ y^3 $ to combine it with. We also have a term with $ x $, which is $-5x$, that we missed earlier. We need to combine this with the $-4x$ term from Step 3.

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Click and drag like terms onto each other to simplify fully.

-4x^(2)-x^(2)-2-4x-2y^(3)-3x^(2)-5x

Click and drag like terms onto each other to simplify fully. $\newline$ $-4 x^{2}-x^{2}-2-4 x-2 y^{3}-3 x^{2}-5 x$

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Algebra 1

Multiplication with rational exponents

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Q. Click and drag like terms onto each other to simplify fully.

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-4 x^{2}-x^{2}-2-4 x-2 y^{3}-3 x^{2}-5 x

Identify Terms: Identify like terms in the expression. $\newline$ Like terms are terms that have the same variables raised to the same powers. In the given expression, the like terms are those that contain $x^2$ , those that contain $x$ , and the constant terms (numbers without variables).
Combine x^ $2$ Terms: Combine the $x^2$ terms. $\newline$ We have $-4x^2$ , $-x^2$ , and $-3x^2$ . Combining these gives us: $\newline$ $-4x^2 - x^2 - 3x^2 = -8x^2$
Combine x Terms: Combine the $x$ terms. $\newline$ There is only one term with $x$ , which is $-4x$ . So, there is nothing to combine here, and we just bring down the $-4x$ .
Combine Constant Terms: Combine the constant terms. $\newline$ We have $-2$ and no other constant terms to combine with it, so we just bring down the $-2$ .
Combine Other Like Terms: Identify and combine any other like terms. $\newline$ We have a term with $y^3$ , which is $-2y^3$ , and there are no other terms with $y^3$ to combine it with. We also have a term with $x$ , which is $-5x$ , that we missed earlier. We need to combine this with the $-4x$ term from Step $3$ .