Factorise am+2bm+2bn+an
m(a+2b) + n(a+2b)
= (m+n)(a+2b)
or
a(m+n) + 2b(m+n)
= (a+2b)(m+n)
Answer please
To factorize the expression am + 2bm + 2bn + an, we can group the terms in pairs and factor out common factors.
Grouping the terms, we have:
(am + an) + (2bm + 2bn)
Now, let's factor out the common factors from each pair:
a(m + n) + 2b(m + n)
Notice that we have a common factor of (m + n) in both terms. We can now factor it out:
(m + n)(a + 2b)
So, the factored form of the expression am + 2bm + 2bn + an is:
(m + n)(a + 2b)