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2 years ago

Factorize:12x^2 - 22xy + 8y^2

Mathematics

1 answer:

VashaNatasha [74]2 years ago

5 0

Answer:

2(2x-y)(3x-4y)

Step-by-step explanation:

12x^2 - 22xy + 8y^2

Factor out 2

2 (6x^2 - 11xy + 4y^2)

Consider 6x^2 - 11xy + 4y^2 as a polynomial over variable x.

6x^2 - 11yx + 4y^2

Find one factor of the form kx^m + m, where kx^m divides the monomial with the highest power 6x^2 and n divides the constant factor 4y^2. One such factor is 2x-y. Factor the polynomial by dividing it by this factor.

(2x-y)(3x-4y)

Rewrite the complete factored expression.

2(2x-y)(3x-4y)

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Step-by-step explanation:

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Factorize:12x^2 - 22xy + 8y^2​

Factorize:12x^2 - 22xy + 8y^2