Question

3 x²-4xy+y²=0 factorize
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Answer 1

The factorization will be (x-y)*(3x-y) .

Factorization : Factorization is a method of breaking the arithmetic algebraic expressions into the product of their factors. If we multiply the factors again, then they will result in original expression. The given question is a quadratic equation . Therefore we'll get two parts on breaking and 2 roots .

Factorizing : 3 x²-4xy+y²

Splitting term -4xy into - 3xy and -xy

3$x^{2}$ - 3xy -xy + $y^{2}$

Taking common from first two and last two terms ,

3x (x-y) + y(-x+y)

Taking minus common from last term ,

3x(x-y) - y(x-y)

Again taking common

(x-y) * (3x-y)

Hence , the factorization will be  3 x²-4xy+y² = (x-y) * (3x-y) .

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