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Answer :
To combine like terms in the expression [tex]\(6x^3 + 7x^3 + 7x^5\)[/tex], follow these simple steps:
1. Identify Like Terms: Like terms are terms that have the same variable raised to the same power. In this expression, [tex]\(6x^3\)[/tex] and [tex]\(7x^3\)[/tex] are like terms because both have the variable [tex]\(x\)[/tex] raised to the power of 3.
2. Combine the Coefficients: Add the coefficients (the numbers in front of the variables) of the like terms together.
[tex]\[
6x^3 + 7x^3 = (6 + 7)x^3 = 13x^3
\][/tex]
3. Reorganize the Expression: Notice that [tex]\(7x^5\)[/tex] does not have any like terms to combine with, so you'll keep it as it is. Also, arrange the terms in descending order of the power of [tex]\(x\)[/tex].
So, you'll have:
[tex]\[
7x^5 + 13x^3
\][/tex]
Thus, the expression simplified by combining like terms and arranged with descending powers is [tex]\(7x^5 + 13x^3\)[/tex].
1. Identify Like Terms: Like terms are terms that have the same variable raised to the same power. In this expression, [tex]\(6x^3\)[/tex] and [tex]\(7x^3\)[/tex] are like terms because both have the variable [tex]\(x\)[/tex] raised to the power of 3.
2. Combine the Coefficients: Add the coefficients (the numbers in front of the variables) of the like terms together.
[tex]\[
6x^3 + 7x^3 = (6 + 7)x^3 = 13x^3
\][/tex]
3. Reorganize the Expression: Notice that [tex]\(7x^5\)[/tex] does not have any like terms to combine with, so you'll keep it as it is. Also, arrange the terms in descending order of the power of [tex]\(x\)[/tex].
So, you'll have:
[tex]\[
7x^5 + 13x^3
\][/tex]
Thus, the expression simplified by combining like terms and arranged with descending powers is [tex]\(7x^5 + 13x^3\)[/tex].
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