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combine any like terms in the expression. if there are no like terms, r…

Question

combine any like terms in the expression. if there are no like terms, rewrite the expression.
$42rt^{3} + 33r^{3}st + 12r^{3}st - 5r^{3}st - 40r^{3}st$

Explanation:

Step1: Identify like terms

Like terms: $33r^3st$, $12r^3st$, $-5r^3st$, $-40r^3st$; $42rt^3$ has no like terms.

Step2: Combine like terms for $r^3st$

$$33r^3st + 12r^3st - 5r^3st - 40r^3st = (33+12-5-40)r^3st$$

Step3: Calculate the coefficient

$$(33+12-5-40)r^3st = 0r^3st = 0$$

Step4: Simplify the full expression

$$42rt^3 + 0 = 42rt^3$$

Answer:

$42rt^3$