Question

5. Factorise 3x²+ 6x²y + 9xy?​

Answer 1

Answer:

Let us first find the HCF of all the terms of the given polynomial 3x  

2

+6x  

2

y+9xy  

2

 by factoring the terms as follows:

3x  

2

=3×x×x

6x  

2

y=3×2×x×x×y

9xy  

2

=3×3×x×y×y

Therefore, HCF=3×x=3x

Now, we factor out the HCF from each term of the polynomial 3x  

2

+6x  

2

y+9xy  

2

 as shown below:

3x  

2

+6x  

2

y+9xy  

2

=3x(x+2xy+3y  

2

)

Hence, 3x  

2

+6x  

2

y+9xy  

2

=3x(x+2xy+3y  

2

).

Answer 2

Answer i hope it helps you. Anant Thakur