How to simplify 2 (the square of x) - 5x-3 Plus, this question, 9 (x is squared) + 30x + 16 It's better to explain in detail

How to simplify 2 (the square of x) - 5x-3 Plus, this question, 9 (x is squared) + 30x + 16 It's better to explain in detail

[2x+1][x-3]

2X square - 4x + 1 = 2 (x +?) square +?

2X & # 178; - 4x + 1 Formula
=2(x²-2x)+1
=2(x²-2x+1)+1-2
=2(x-1)² -1
2x²-4x+1=2 [ x +(-1) ]² +(-1)

4 (x-1) - 2 (square of X + 1) - 1 / 2 (square of 4x - 2x)

Original formula = 4x-4-2x & # 178; - 2-2x & # 178; + X
=-4X²+5X-6.

How many times is the square of 2x minus 4x-1

Quadratic trinomial~
The second term refers to the highest term, and the third term refers to three items that cannot be merged

If the absolute values of the square of m-6m + 9 and N-1 are opposite to each other, then the formula (M / N of N-M / N) / (m △ n)

Because: the square of M - 6m + 9 and the absolute value of n-1 are opposite to each other
So: M & sup2; - 6m + 9 + | n-1 | = 0
（m-3）²+|n-1|=0
If the sum of nonnegative numbers is 0, every one must be 0
So: M-3 = 0, n-1 = 0
m=3,n=1
If you substitute M = 3 and N = 1 into the formula you want, you can get the result

Given that f (x) = log2 (x) + 2, X belongs to [1,4], then the maximum value of function f (x) = [f (x)] ^ 2 + F (x ^ 2) + 3

F(x)=[log2(x)]^2+2log2(x)+4+2log2(x)+2+3
=[log2(x)]^2+4log2(x)+9
Obviously, f (x) is a quadratic function of one variable with respect to log2 (x)
Because x belongs to [1,4]
So 0=

If the absolute value of X-2 + X + 5 is greater than a, the value range of real number a is very wide

|x-2|+|x+5|>a
When x7
When - 5 = 7
So | X-2 | + | x + 5 | > = 7
So the value range of a is a

It is known that the intersection points of quadratic function Y1 = x2-x-2 and primary function y2 = x + 1 are a (- 1,0) and B (3,4) respectively. When Y1 > Y2, the value range of independent variable x is determined

X3

Seeking the third derivative of function in MATLAB

Dfdvn = diff (F, x, 3), the third derivative of F (x) is obtained

F (a * b) = f (a) + F (b) f (a + b) = f (a) * f (b) these two functions give several examples respectively, and tell the common properties of each function example
What's the difference between these two functions, just the position of brackets?

This is called an abstract function
F (a * b) = f (a) + F (b) typical example, logarithmic function, LG (AB) = LGA + LGB
F (a + b) = f (a) * f (b) typical example, exponential function, the (a + B power of M) = a power of M * B power of M