![KathyRayG7456](/avatars/34864.jpg)
KathyRayG7456
26.07.2019 •
Mathematics
Which expression represents 625p4−16 when factored completely over the complex numbers? (5p−2i)2(5p+2i)2 (25p2+4i)(25p2−4i) (25p2+4i)(5p−2i)(5p+2i) (5p−2)(5p+2)(5p−2i)(5p+2i)
Solved
Show answers
More tips
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- S Science and Technology Understanding Magnetic Storms: A Guide to This Natural Phenomenon...
- F Family and Home What is Most Important in Men s Lives?...
- G Goods and services Which TV is better - LCD or Plasma?...
- C Computers and Internet Are there special gaming mice?...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- C Computers and Internet 3D Glasses! What is this thing?...
Answers on questions: Mathematics
- M Mathematics Write an equation of the line that passes through (-4, - 1) and is perpendicular to the line y = x+ ....
- M Mathematics The total cost of a shirt and a tie was $75.62. if the price of the shirt was $4.02 less than the tie, what was the price of the shirt? express your answer as a simplified...
- M Mathematics Dilating a triangle changes the angles and side length of the triangle. a. true b. false...
- M Mathematics 19) max bought a new speed boat that cost of $33,000. the boat depreciates approximately 18% of its value each year. write an equation to model the decay value of the speed...
- M Mathematics Suppose f(x)=2×+5 find the value of -2f(x+1)...
- M Mathematics Beth and kristine ride their bikes to school in the morning. beth has to ride 1 7/32 miles. kristine has to ride 39/32 miles. who rides the farthest to reach school ?...
- M Mathematics What is the value of the expression square root of 121?...
- M Mathematics Write the equation of the line that is perpendicular to y = 4 x − 8 y=4x-8 and passes through the point ( 4 , 3 ) (4,3)...
- M Mathematics Winona purchased a set of vintage beads.there are 2,140 beads in the set. if she uses the beads to make bracelets that have 7 beads each, about how many bracelets can she...
- M Mathematics What does it mean when there is a number above the square root sign?...
Ответ:
Explanation:
1) Express the given expression as the difference of two squares:
625p⁴ - 16 = (25p²)² - 4²
2) Factor as the product of a sum times its difference:
(25p²)² - 4² = (25p² - 4) (25p² + 4)
3) Factor each binomial (again square of a difference and sum times its difference):
25p² - 4 = (5p)² - 2² = (5p - 2)(5p + 2)
25p² + 4 = (5p)² - (2i)² = (5p - 2i)(5p + 2i)
4) Therefore, the 4 factors are:
(5p - 2)(5p + 2) (5p - 2i) (5p + 2i)
Ответ: