Question

Which of the following is equivalent to 48xy2 + 24xy4 − 12x2y4?

Answer 1

12xy2(4 + 2y2 − xy2)

12xy2(4 − 2y2 + xy2)

12xy2(3 + 2y2 − xy2)

12xy2(4 − 3y2 − xy2)

Answer 2

A-G: How about looking for factors common to all 3 terms of the expression 48xy2 + 24xy4 − 12x2y4?

Answer 3

For example, what do 48, 24 and -12 have in common?

Answer 4

2

Answer 5

Certainly, but what about 3? 4? 6? 12?

Answer 6

Hint: 48xy2 + 24xy4 − 12x2y4 = 12( ??? )

Answer 7

1

Answer 8

or 3 rite

Answer 9

@mathmale

Answer 10

48xy2 + 24xy4 − 12x2y4 = 12( ??? ) asks you to decide what the right side of the equation looks like after you've factored 12 out of 48xy2 + 24xy4 − 12x2y4.

What's 48/12? What's 24/12? What's -12x^2y^4?

Then 48xy2 + 24xy4 − 12x2y4 = 12( ????? )

Answer 11

im lost

Answer 12

Here's an example of what I'm asking you to do:

48xy2 + 24xy4 − 12x2y4 =\[12(\frac{ 48xy ^{2} }{12 } + \frac{ 24xy ^{4} }{ 12 } + ... )\]

Answer 13

This simplifies to
\[12(4xy ^{2}+2xy ^{4}-1x ^{2}y ^{4}).\]

Answer 14

Please, AG, take a look at this and try to explain in your own words what I've done here and why. Then we'll move forward.