([tex]2b[/tex], [tex]b[/tex]) and ([tex]b^{6}[/tex], [tex]3b^{6}[/tex]) are like terms.
Step-by-step explanation:
As per my understanding, the given terms are:
1) [tex]2b[/tex]
2) [tex]b^{6}[/tex]
3) [tex]b[/tex]
4) [tex]x^{4}[/tex]
5) [tex]3b^{6}[/tex]
6) [tex]2x^{2}[/tex]
The like terms are always the terms with the same base and power. Lets, analyse each term:
1) [tex]2b[/tex]
Base = b
Power = 1
2) [tex]b^{6}[/tex]
Base = b
Power = 6
3) [tex]b[/tex]
Base = b
Power = 1
4) [tex]x^{4}[/tex]
Base = x
Power = 4
5) [tex]3b^{6}[/tex]
Base = b
Power = 6
6) [tex]2x^{2}[/tex]
Base = x
Power = 2
From the analysis, ([tex]2b[/tex], [tex]b[/tex]) and ([tex]b^{6}[/tex], [tex]3b^{6}[/tex]) are like terms.
Keywords: Base, Power
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