. Find the factors of x² +9y² + 6xy
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You can factor this by grouping.
The coefficients of x^2 and y^2 are, respectively, 1 and 9 , the product of which is 9 , which, in turn, can be factored in (3)(3).
So, we can rewrite our function as
x^2+3xy+9y^2+3xy
and factor it by two groups of two terms each:
x(x+3y)+3y(x+3y)
We can see that the parenthesis of each term are exactly the same, so we can use them as the common multiple of the whole equation that are multipling the rest:
(x+3y)(x+3y)
Hope you understand
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