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Which is the complete factor for the problem?24x² - 6xy - 63y3(4x - 7y) (2x + 3y)3xy(4x + 7y)(3y + 2)2(12r² - 3ry) - 63y²3(8x² - 2xy-21 y²)

Which is the complete factor for the problem?24x² - 6xy - 63y3(4x - 7y) (2x + 3y)3xy-example-1
User Jimmy Ilenloa
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1 Answer

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22 votes
Step-by-step explanation:

Consider the following polynomial:


24x^2\text{ - 6xy - 63y}^2

The common factor of this polynomial is 3. Thus, we get the following equivalent polynomial:


3(8x^2\text{ - 2xy - 21y}^2)

Now, if we factor the polynomial in the parentheses, we get:


3(2x+3y)(4x\text{ - 7y})

thus, we can conclude that the correct answer is:

Answer:


3\left(4x-7y\right)(2x+3y)

User Fabian Hueske
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