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Answer :
To find the sum of the expression [tex]\(19x^3 + (14x + 4x^3)\)[/tex], let's simplify and combine like terms.
1. Identify like terms:
- Terms with [tex]\(x^3\)[/tex]: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex]
- Term with [tex]\(x\)[/tex]: [tex]\(14x\)[/tex]
2. Combine the [tex]\(x^3\)[/tex] terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms: [tex]\(19 + 4 = 23\)[/tex]
- So, combining [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex] gives us [tex]\(23x^3\)[/tex].
3. The [tex]\(x\)[/tex] term remains as is:
- The term [tex]\(14x\)[/tex] does not have any like terms to combine with, so it stays as [tex]\(14x\)[/tex].
4. Write the combined expression:
- The expression becomes [tex]\(23x^3 + 14x\)[/tex].
So, the sum is [tex]\(23x^3 + 14x\)[/tex]. This corresponds to option D, which is [tex]\(23x^3 + 14x\)[/tex].
1. Identify like terms:
- Terms with [tex]\(x^3\)[/tex]: [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex]
- Term with [tex]\(x\)[/tex]: [tex]\(14x\)[/tex]
2. Combine the [tex]\(x^3\)[/tex] terms:
- Add the coefficients of the [tex]\(x^3\)[/tex] terms: [tex]\(19 + 4 = 23\)[/tex]
- So, combining [tex]\(19x^3\)[/tex] and [tex]\(4x^3\)[/tex] gives us [tex]\(23x^3\)[/tex].
3. The [tex]\(x\)[/tex] term remains as is:
- The term [tex]\(14x\)[/tex] does not have any like terms to combine with, so it stays as [tex]\(14x\)[/tex].
4. Write the combined expression:
- The expression becomes [tex]\(23x^3 + 14x\)[/tex].
So, the sum is [tex]\(23x^3 + 14x\)[/tex]. This corresponds to option D, which is [tex]\(23x^3 + 14x\)[/tex].
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