Question

Factorization of 3x3y + 6x2y is equal to​

Answer 1

Basic Concept Used :-

1. Method of Common Factors

• In this method, we have to write the irreducible factors of all the terms

• Then find the common factors amongst all the irreducible factors.

• The required factor form is the product of the common term we had taken out and the left over terms inside the braces.

Let's solve the problem now!!!

Given

$\rm :\longmapsto\: {3x}^{3}y + {6x}^{2}y$

$\sf \: = \: \: \red{3 }\times \: \red{x} \times \red{x} \times x \times \red{y} + \red{3} \times 2 \times \red{x} \times \red{x} \times \red{y}$

$\sf \: = \: \: \red{3 \times x \times x \times y} \times (x + 2)$

$\sf \: = \: \: 3 \: {x}^{2} \: y \: (x \: + \: 2)$

Additional Information :-

Factorisation by Regrouping Terms

Sometimes it might seems that there is no common term in the expressions then

• We have to make the groups of the terms accordingly.

• Then choose the common factor among these groups.

• Find the common factor and it will give the required factors.