Question

Find a - 2b + 3c diminished by a - 2b - 3c + d.

Answer 1

a - 2b + 3c -(a - 2b - 3c + d)

=a - 2b + 3c -a + 2b + 3c - d

=6c -d

Answer 2

Answer:  The required value is $6c-d.$

Step-by-step explanation:  We are given to find the following :

$a-2b+3c$ diminished by $a-2b-3c+d.$

We know that

the expression p diminished by q is written as "p - q".

Therefore, the given expression implies

$a-2b+3c~\textup{diminished by}~a-2b-3c+d\\\\=(a-2b+3c)-(a-2b-3c+d)\\\\=a-2b+3c-a+2b+3c-d\\\\=6c-d.$

Thus, the required value is $6c-d.$