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bagirrra123
1 month ago
11

The expression x2y - 2xy - 24y can be factored by first factoring out a common factor of y.

Mathematics
2 answers:
Zina [12.3K]1 month ago
6 0

Answer:

trinomial that is not a perfect square

Step-by-step explanation:

lawyer [12.5K]1 month ago
6 0

Answer:

quadratic

Step-by-step explanation:

Given

x²y - 2xy - 24y ← extract y from each term

= y(x² - 2x - 24) ← factors in quadratic form

To factor the quadratic

Identify the factors of the constant term (-24) that add up to the coefficient of the x-term (-2)

The relevant factors are -6 and +4, since

-6 × 4 = -24 and -6 + 4 = -2, thus

x² - 2x - 24 = (x - 6)(x + 4) and

x²y - 2xy - 24y = y(x - 6)(x + 4) ← expressed in factored form

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