Question

Factor.

4m^6−16p^10


A (2m^3−4p^5)^2

B (2m^3−4p^5)(2m^3+4p^5)

C (2m^3−4p^5)(2m^3−4p^5)

D (2m^3+4p^5)^2

Answer 1

B (2m^3−4p^5)(2m^3+4p^5)

Explanation:

The factoring of the difference of squares is the product of the sum and difference of the squared terms.

... a² -b² = (a -b)(a +b)

Here, you have ...

• a = 2m^3
• b = 4p^5

So, the factoring is the product of the sum and difference of these values:

... (2m^3 -4p^5)(2m^3 +4p^5) . . . . . . matches selection B

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Comment on answer choices

Perhaps you noticed that choices A and C are the same.