Question

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)

Answer 1

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:

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