Respuesta :
The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.
a²b(7 + 10b +14b²)
a²b(7 + 10b +14b²)
Answer:
[tex]a^2b(7 + 10b + 14b^2)[/tex]
Step-by-step explanation:
Given : [tex]7a^2b + 10a^2b^2 + 14a^2b^3[/tex]
To Find: Which expression is equivalent to [tex]7a^2b + 10a^2b^2 + 14a^2b^3[/tex]
Solution:
[tex]7a^2b + 10a^2b^2 + 14a^2b^3[/tex]
Take [tex]a^2[/tex] as common
[tex]a^2(7b + 10b^2 + 14b^3)[/tex]
Now take b as common
[tex]a^2b(7 + 10b + 14b^2)[/tex]
Hence [tex]a^2b(7 + 10b + 14b^2)[/tex] is equivalent to [tex]7a^2b + 10a^2b^2 + 14a^2b^3[/tex]
