Question

1)32x^3-5002)12a^3-48a3)8c+18x^2c-24cx​

Answer 1

Ответ:

Пошаговое объяснение:

$32x^3-500=0\\32x^3=500\\x^3=\frac{500}{32} =\frac{125}{8} \\x=\frac{5}{2} =2.5$

$12a^3-48a=0\\a(12a^2-48)=0\\a_1=0\\12a^2-48=0\\12a^2=48\\a^2=4\\a_2=2\\a_3=-2$

Ответ:a1=0;a2=2;a3=-2

$8c+18x^2c-24cx=0\\c(8+18x^2-24x)=0\\c=0\\18x^2-24x+8=0\\D=576-4*18*8=0\\x=\frac{24}{36} =\frac{2}{3}$

Ответ:c=0 x=2/3

Answer 2

It seems like you have three expressions, and I'll provide some assistance in understanding and simplifying each of them:

1. 32x^3 - 50 This expression is a simple polynomial with a single term. It cannot be simplified further since there are no like terms to combine. The expression represents a cubic polynomial with a coefficient of 32 and a variable term x^3.

2. 12a^3 - 48a This expression is also a polynomial with two terms. We can factor out common terms from these two terms to simplify it: 12a^3 - 48a = 12a(a^2 - 4)

Now, we notice that (a^2 - 4) is a difference of squares, so we can factor it further: 12a(a^2 - 4) = 12a(a + 2)(a - 2)

So, the simplified expression is 12a(a + 2)(a - 2).

3. 8c + 18x^2c - 24cx This expression is a polynomial with three terms. We can combine like terms to simplify it: 8c + 18x^2c - 24cx = 8c + c(18x^2 - 24x)

Now, we can factor out a common term 'c' from the last two terms: 8c + c(18x^2 - 24x) = c(8 + 18x^2 - 24x)

The expression is now fully simplified: c(18x^2 - 24x + 8).