Question

1. Calculate the H.C.F of a 2 b 5 and a 3 b 3 .

Answer 1

Answer:

Step-by-step explanation:

Problem is HCF:

        Of;

                               a²b⁵      and     a³b³

The highest common factor, HCF is used to factor expressions in order to simplify them.

H.C.F is a factor that is common to both expressions.

       here we have

           a²b⁵    and      a³b³

     a²b⁵   = a x a x b x b x b x b x b

     a³b³  =  a x a x a x b x b x b

In both expressions, for a:

                        a x a            and   b x b x b x b x b

                        a x a x a      and    b x b x b

                    common factors are a and b

both entities contains a and b

  Highest common factor H.CF;

                          a²                and b³

               this makes   a²b³          

a²b³   is common to both of them and it is the highest term that can be factored from the the two.