Answer:
7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms
9. m and 2m are like terms, 3³ and 2 are like terms
10. 6³ and 6² are like terms, y³ and 5y³ are like terms
Step-by-step explanation:
- The like terms are the terms that have the same variable with the same power
- All numerical rational terms are like terms
- The numerical terms with the same radical are like terms
Let us solve from No. 7 to No. 10
#7
∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²
∵ 2b and b have the same variable and the same power
∴ 2b and b are like terms
∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6
∴ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
#8
∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7
∵ 6 and 7 are numerical rational terms
∴ 6 and 7 are like terms
∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power
∴ 2n and [tex]\frac{n}{4}[/tex] are like terms
#9
∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2
∵ m and 3m have the same variable and the same power
∴ m and 2m are like terms
∵ 3³ and 2 are numerical rational terms
∴ 3³ and 2 are like terms
#10
∵ The terms are 6³, y³, 3y², 6², y, 5y³
∵ 6³ and 6² are numerical rational terms
∴ 6³ and 6² are like terms
∵ y³ and 5y³ have the same variable and the same power
∴ y³ and 5y³ are like terms
