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Mrac [35]
2 years ago
13

Given the expression: 6x10 − 96x2

Mathematics
1 answer:
Anettt [7]2 years ago
5 0

Step-by-step explanation:

Part A:

I'm going to assume you meant to write 6x^10 - 96x^2. Based off that assumption you can factor out 6 from both equations as well as x^2.

This is going to give you

6x^2(x^8-16). I

Part B:

if you look at the inside, both of the values are perfect squares (if the exponent is even, it's a perfect square). So the equation can further be rewritten using the difference of squares

6x^2(x^4-4)(x^4+4)

If you look at the expression, you'll notice one of the equations can further be rewritten as the difference of squares (x^4 - 4).

6x^2(x^2-2)(x^2+2)(x^4+4)

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