Factorize: 27m³n³-18m²n³ + 75m³n²​

Answer:

Equation was factorized 3m²n²(9mn-18n+75m)

Explanation:

Take a look at the quadratic equation 

        ax2 + bx + c = 0.

Now, find two numbers whose product equals ac and whose sum equals b.

        (number 1)(number 2) = ac + (number 2) = b

Simply split the middle term by these two numbers: 

        ax2 + (number 1)x + (number 2)

        x + c = 0   

Out the common factors and simplify the given equation:

        =27m³n³-18m²n³ + 75m³n²​

Take out the 3m²n²

        =3m²n²(9mn-18n+75m)

Therefore factorized equation is 3m²n²(9mn-18n+75m)