Question

factorise 9x²+6xy+y²

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The solution will be (3x+y)² using the factorization method

Step-by-step explanation:

Given:

equation= 9x²+6xy+y²

To find:

factorize

Solution:

Here the equation is not in the quadratic form of ax²+bx+c=0 so the solution is not going to perfect

But we can still solve the equation using the factorization method

9x²+6xy+y², considering a=9, b= 6, c=1

Let's use factors for the middle term that gives 6 on adding and 9 on multiplying

We get the factors as 3xy & 3xy

∴ 9x²+6xy+y²

∴ 9x²+3xy+3xy+y²

Taking the like terms together and spotting it out

For the first two terms and then for the last two terms

∴ 3x(3x+y)+y(3x+y)

∴ (3x+y) (3x+y)

We can simplify it by multiplying

=  (3x+y)²

∴ 9x²+6xy+y² = (3x+y)² is the solution using the factorization method.

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