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Answer :
Let's simplify the given terms step by step:
We are given four terms:
1. [tex]\( 6x^3 \)[/tex]
2. [tex]\( 6x^6 \)[/tex]
3. [tex]\( 10x^3 \)[/tex]
4. [tex]\( 10x^6 \)[/tex]
To simplify, we need to combine like terms. Like terms have the same variable raised to the same power.
Step 1: Identify like terms.
- The terms [tex]\( 6x^3 \)[/tex] and [tex]\( 10x^3 \)[/tex] are like terms because they both contain [tex]\( x^3 \)[/tex].
- The terms [tex]\( 6x^6 \)[/tex] and [tex]\( 10x^6 \)[/tex] are like terms because they both contain [tex]\( x^6 \)[/tex].
Step 2: Combine the coefficients of the like terms.
- Combine [tex]\( 6x^3 \)[/tex] and [tex]\( 10x^3 \)[/tex]:
[tex]\[
6x^3 + 10x^3 = (6 + 10)x^3 = 16x^3
\][/tex]
- Combine [tex]\( 6x^6 \)[/tex] and [tex]\( 10x^6 \)[/tex]:
[tex]\[
6x^6 + 10x^6 = (6 + 10)x^6 = 16x^6
\][/tex]
Step 3: Write the final simplified expression.
The simplified expression is:
[tex]\[
16x^3 + 16x^6
\][/tex]
So, the given terms simplify to [tex]\( 16x^3 + 16x^6 \)[/tex].
We are given four terms:
1. [tex]\( 6x^3 \)[/tex]
2. [tex]\( 6x^6 \)[/tex]
3. [tex]\( 10x^3 \)[/tex]
4. [tex]\( 10x^6 \)[/tex]
To simplify, we need to combine like terms. Like terms have the same variable raised to the same power.
Step 1: Identify like terms.
- The terms [tex]\( 6x^3 \)[/tex] and [tex]\( 10x^3 \)[/tex] are like terms because they both contain [tex]\( x^3 \)[/tex].
- The terms [tex]\( 6x^6 \)[/tex] and [tex]\( 10x^6 \)[/tex] are like terms because they both contain [tex]\( x^6 \)[/tex].
Step 2: Combine the coefficients of the like terms.
- Combine [tex]\( 6x^3 \)[/tex] and [tex]\( 10x^3 \)[/tex]:
[tex]\[
6x^3 + 10x^3 = (6 + 10)x^3 = 16x^3
\][/tex]
- Combine [tex]\( 6x^6 \)[/tex] and [tex]\( 10x^6 \)[/tex]:
[tex]\[
6x^6 + 10x^6 = (6 + 10)x^6 = 16x^6
\][/tex]
Step 3: Write the final simplified expression.
The simplified expression is:
[tex]\[
16x^3 + 16x^6
\][/tex]
So, the given terms simplify to [tex]\( 16x^3 + 16x^6 \)[/tex].
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