Factor: x^{2}-8xy+12y^{2}

geduiwelh

geduiwelh

Answered question

2021-05-21

Factor: x28xy+12y2

Answer & Explanation

toroztatG

toroztatG

Skilled2021-05-22Added 98 answers

Step 1
Factorization is the process of writing the polynomial as the product of its factors.
To factorize, first split the middle term such that the product of the split terms is equal to the product of the first term and the last term. So, split −8xy as −6xy−2xy because the product of the split terms is equal to x2×12y2.
x28xy+12y2=x26xy2xy+12y2
Step 2
Now, factor out x and −2y from the first two terms and the last two terms respectively. Finally, factor out (x−6y).
x26xy2xy+12y2=x(x6y)2y(x6y)
=(x-6y)(x-2y)
Therefore, factor of x28xy+12y2 is (x-6y)(x-2y).

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