( x + 5)³ - ( x + 1)³ = 4( 3x² - 5)
x³ + 15x² + 75x + 125 - ( x³ + 3x² + 3x + 1) = 12x² - 20
x³ + 15x² + 75x + 125 - x³ - 3x² - 3x - 1 = 12x² - 20
12x² + 72x + 124 - 12x² + 20 = 0
72x = - 144
x= - 144/72
x = - 2
Ответ: x = - 2.
Разделить числитель и знаменатель на 2 = 1/5
=25*3/15=75/15=5................................................................................
1) (a-z)(a+z)=a²+az-za-z²=a²-z²
2) (a+p)(a-p)=a²-ap+pa-p²=a²-p²
3) (f+5)(5-f)=5f-f²+25-5f=-f²+25=25-f²
4) (10+b)(10-b)=100-10b+10b-b²=100-b²
5) (7x-8y)(7x+8y)=49x²+56xy-56yx-64y²=49x²-64y²
6) (1-k)(k+1)=k+1-k²-k=1-k²
<span>7) (3d</span>²<span>-4p)(3d</span>²<span>+4p)=9d</span>⁴+12pd²-12pd²-16p²=9d⁴-16p²