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topjm [15]
3 years ago
5

Factor the GCF: −12x3y5 − 9x2y2 + 12xy33xy2(−4x2y3 − 3x + 4y)−3xy2(4x2y3 − 3x + 4y)−3(4x3y5 + 3x2y2 − 4xy3)−3xy2(4x2y3 + 3x − 4y

)
Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

3xy^2(-4x^2y^3-3x+4y)

Step-by-step explanation:

The given expression is

-12x^3y^5-9x^2y^2+12xy^3

To find the greatest common factor; we find the prime factorization of each term in the expression.

-12x^3y^5=-2^2\times3\timesx^3\times y^5

-9x^2y^2=-3^2\times x^3 \times y^2

12xy^3=2^2\times 3\times x\times y^3

The greatest common factor is the product of the least powers of the common factors.

GCF=3xy^2

We factor the GCF to obtain;

-12x^3y^5-9x^2y^2+12xy^3=3xy^2(-4x^2y^3-3x+4y)

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