To factorise the expression 10mnp+12mn, we find the greatest common factor, which is 2mn, and then write the expression as 2mn(5p + 6).
To factorise the expression 10mnp+12mn, we first look for the greatest common factor that is shared between the two terms 10mnp and 12mn.
In this case, the greatest common factor is 2mn. We can now factor out 2mn, and we are left with the original expression written as the product of 2mn and the sum of two terms.
Here is the factorisation step by step:
Identify the greatest common factor: 2mn
Factor out the greatest common factor: 2mn(5p + 6)
Write the factorised form: 2mn(5p + 6)
The original expression 10mnp+12mn is equivalent to the factorised expression 2mn(5p + 6).