Factorize the cube of 8a, the square of B, and the square of C + 6 AB to get a detailed explanation Factorization 8A's cube B's square C + 6ab's Square

Factorize the cube of 8a, the square of B, and the square of C + 6 AB to get a detailed explanation Factorization 8A's cube B's square C + 6ab's Square

8A ^ 3B ^ 2C + 6ab ^ 2, extract the common factor 2Ab ^ 2
=2ab^2(4a^2c+3)

The inverse function of y = x squared - 2x (x less than 0) is

Y = x square - 2x
Y + 1 = x square - 2x + 1 = (x-1) square
X = 1-radical (1 + y)
So the inverse function is y = 1-radical (1 + y) [y > 0]

Find the inverse function (x > 3) of y = √ (x ^ 2 + 2x + 5)

x>3,y>2√5
y^2=x^2+2x+5=(x+1)^2+4
x+1=±√(y^2-4)
x=-1±√(y^2-4)
According to the meaning of the title
x=-1+√(y^2-4)
Exchange variable order
y=-1+√(x^2-4) (x>2√5)

Inverse function of y = x2-5 (x ≥ 0)

x2=y+5
x>=0
So x = √ (y + 5)
So the inverse function is y = √ (x + 5), X ≥ - 5