Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 8x + 6

Minimum at (-4, -10)

Step-by-step explanation:

x² + 8x + 6

The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.

Subtract the constant from each side

x² + 8x = -6

Square half the coefficient of x

(8/2)² = 4² = 16

Add it to each side of the equation

x² + 8x + 16 = 10

Write the left-hand side as the square of a binomial

(x + 4)² = 10

Subtract 10 from each side of the equation

(x+ 4)² -10 = 0

This is the vertex form of the parabola:

(x - h)² + k = 0,

where (h, k) is the vertex.

h = -4 and k = -10, so the vertex is at (-4, -10).

The Figure below shows your parabola with a minimum at (-4, -10).

this is a very good question

step-by-step explanation:

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the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b