Certainly! Let's perform the mathematical operation step-by-step.
We are given the expressions:
[tex]\( 1. \quad 14mn - 12m + 7n \)[/tex]
[tex]\( 2. \quad 15mn - 22m + 2n \)[/tex]
We need to subtract the second expression from the first one:
[tex]\[ (14mn - 12m + 7n) - (15mn - 22m + 2n) \][/tex]
Let's distribute the negative sign to the second expression:
[tex]\[ 14mn - 12m + 7n - 15mn + 22m - 2n \][/tex]
Next, we combine the like terms:
1. Combine the [tex]\( mn \)[/tex] terms:
[tex]\[ 14mn - 15mn = -mn \][/tex]
2. Combine the [tex]\( m \)[/tex] terms:
[tex]\[ -12m + 22m = 10m \][/tex]
3. Combine the [tex]\( n \)[/tex] terms:
[tex]\[ 7n - 2n = 5n \][/tex]
So, the resulting expression after performing the subtraction is:
[tex]\[ -mn + 10m + 5n \][/tex]
Therefore, the simplified result is:
[tex]\[ -mn + 10m + 5n \][/tex]
