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Select the expression that is equivalent to the given polynomial.

16x^4-625

Select the expression that is equivalent to the given polynomial. 16x^4-625-example-1
User Penderi
by
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2 Answers

1 vote
I think it is the last one b.c. the first part of the equation//(2x+5)(2x-5) = 16x^4-625 b.c of the fomrmula x^2-y^2...
the last part i is most likely imaginary number which has a value of -1...but you want x^2 - y^2 remember (16x^2-625) so then its the last one
Hope that helps
User Mahendra S
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5.8k points
4 votes

Answer: (2x+5)(2x-5)(2x+i5)(2x-i5)

Step-by-step explanation:
16x^4-625

=
2^4x^4-5^4

=
(2x)^4-5^4

=
((2x)^2-5^2)((2x)^2+5^2) (∵ a²-b²=(a-b)(a+b))

= (2x+5)(2x-5)(2x+i5)(2x-i5)

User Jeremy Faller
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6.0k points