Explicação passo-a-passo:
A. (3-x)³
(3-x)³ = (3-x)(3-x)(3-x)
= (3-x)(9-6x+x²)
= 27 - 27x + 9x² - x³
Então (3-x)³ = -x³ + 9x² - 27x + 27
B. (2y-3)³
(2y-3)³ = (2y-3)(2y-3)(2y-3)
= (2y-3)(4y²-12y+9)
= 8y³ - 36y² + 54y - 27
Portanto, (2y-3)³ = 8y³ -36y² + 54y - 27
C. (x-5)³
(x-5)³ = (x-5)(x-5)(x-5)
= (x-5)(x²-10x+25)
= x³ - 15x² + 75x - 125
Então, (x-5)³ = x³ - 15x² + 75x - 125
D. (2-3y)³
(2-3y)³ = (2-3y)(2-3y)(2-3y)
= (2-3y)(4-12y+9y²)
= 8 - 36y + 54y² - 27y³
Portanto, (2-3y)³ = 8 - 36y + 54y² - 27y³
E. (3y-5)³
(3y-5)³ = (3y-5)(3y-5)(3y-5)
= (3y-5)(9y²-30y+25)
= 27y³ - 135y² + 225y - 125
Então, (3y-5)³ = 27y³ - 135y² + 225y - 125.
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Explicação passo-a-passo:
A. (3-x)³
(3-x)³ = (3-x)(3-x)(3-x)
= (3-x)(9-6x+x²)
= 27 - 27x + 9x² - x³
Então (3-x)³ = -x³ + 9x² - 27x + 27
B. (2y-3)³
(2y-3)³ = (2y-3)(2y-3)(2y-3)
= (2y-3)(4y²-12y+9)
= 8y³ - 36y² + 54y - 27
Portanto, (2y-3)³ = 8y³ -36y² + 54y - 27
C. (x-5)³
(x-5)³ = (x-5)(x-5)(x-5)
= (x-5)(x²-10x+25)
= x³ - 15x² + 75x - 125
Então, (x-5)³ = x³ - 15x² + 75x - 125
D. (2-3y)³
(2-3y)³ = (2-3y)(2-3y)(2-3y)
= (2-3y)(4-12y+9y²)
= 8 - 36y + 54y² - 27y³
Portanto, (2-3y)³ = 8 - 36y + 54y² - 27y³
E. (3y-5)³
(3y-5)³ = (3y-5)(3y-5)(3y-5)
= (3y-5)(9y²-30y+25)
= 27y³ - 135y² + 225y - 125
Então, (3y-5)³ = 27y³ - 135y² + 225y - 125.