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ghostlyfrost67p8u0ey
07.03.2020 •
Mathematics
Which of the following is the correct factorization of 64x³ + 125?
(4x + 5)(16x² - 20x + 25)
(4x + 5)(8x²- 20x + 25)
(4x + 5)(16x² + 20x + 25)
(4x + 5)(16x² - 20x + 5)
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Ответ:
The answer to your question is (4x + 5)(16x² - 20x + 25)
Step-by-step explanation:
Data
Polynomial 64x³ + 125
Factorize this binomial as an addition of cubes
Process
1.- Find the cubed root of 64
2.- Find the cubed root of 125
3.- Use the following formula
x³ + y³ = (x + y)(x² - xy + y²)
x = 4x
y = 5
4.- Substitution
64x³ + 125 = (4x + 5)((4x)² - (4x)(5) + (5)²)
5.- Simplification
= (4x + 5)(16x² - 20x + 25)
Ответ:
16x^2+9
Step-by-step explanation:
Use the FOIL method
(3x3)=9
(3)(-4x)=(-12x)
(4x)(3)=12x
(4x)(-4x)=(-16x^2)
-16x^2-12x+12x+9
Combine like terms
-16x^2+9