Question

write the below expression in factored form by factoring out the greatest common factor or a negative common factor if the coefficient of the term of greatest degree is negative

Answer 1

Consider the given expression,

`8mn^2+16m^2n^2`

Note that the number of terms is already even, so we can take the take out the common factors. If there had been odd number of terms then we would have to go for Splitting Middle Term.

Taking the common factors out,

`8mn^2(1+2m)`

Thus the given expression can be written in factored form as,

`8mn^2+16m^2n^2=8mn^2(1+2m)`

So the factors of the given expression are,

`8mn^2,\text{ (1+2m)}`