(x + 5x + 3) (x + 5x-2) - 6 factorization,

(x + 5x + 3) (x + 5x-2) - 6 factorization,

Let a = x & # 178; - 5x
Original formula = (a + 3) (A-2) - 6
=a²+a-6-6
=a²+a-12
=(a-3)(a+4)
=(x²+5x-3)(x²+5x+4)
=(x²+5x-3)(x+1)(x+4)

Factorization factor 3x & # 178; - 5x = 0

The original formula is not a factor, but an equation, which can be solved by factoring
The original equation can be transformed into the equation by factorization (extracting the common factor X)
x﹙3x－5﹚＝0
If x = 0 or 3x-5 = 0, then x = 5 / 3
The solution of the original equation is x = 0 or x = 5 / 3

Given that the cube of (2x-1) = the cube of a (x) + the square of B (x) + CX + D, find the value of a + B + C + D
fast
Is there a formula for the cube of (a-b)? \(≥▽≤)/~

Solution 1: This is your formula: (2x-1) ^ 3 = [2x + (- 1)] ^ 3 = (2x) ^ 3 + 3 (2x) ^ 2 (- 1) + 3 (2x) (- 1) ^ 2 + (- 1) ^ 3 = 8x ^ 3-12x ^ 2 + 6x-1; a = 8; b = - 12; C = 6; d = - 1; a + B + C + D = 8-12 + 6-1 = 1; solution 2: let x = 1; substitute into the equation; left = (2x-1) ^ 3 = 1; right = a (1) ^ 3 + B (1) ^ 2 + C (1

Let A.B.C belong to R and a + B + C = 1, if 1 is less than or equal to a + B, less than or equal to 5, - 1 is less than or equal to A-B, less than or equal to 3, find the value range of 3a-2b

Let 3a-2b = m (a + b) + n (a-b)
Then (M + n) a + (m-n) B = 3a-2b
m+n=3 (1)
m-n=-2 (2)
The solution of simultaneous (1) (2) is m = 1 / 2, n = 5 / 2
Because 1 ≤ a + B ≤ 5 - 1 ≤ A-B ≤ 3
Then 1 * m + (- 1) * n ≤ m (a + b) + n (a-b) ≤ 5m + 3N
That is, 1 / 2-5 / 2 ≤ (1 / 2) (a + b) + (5 / 2) (a-b) ≤ 5 / 2 + 15 / 2
So the value range of 3a-2b is [- 2, 10]

Let Z1 = 2 + AI, Z2 = 3-4i, if Z1 + Z2 is a real number, find the value of z1z2

Z1 = 2 + AI, Z2 = 3-4i, if Z1 + Z2 is a real number,
z1+z2=5+(a-4)i
a-4=0
a=4
z1z2=(2+4i)(3-4i)
=6-8i+12i+16
=22+4i

The fruit shop brought in a batch of fruits. The weight of apples was five times that of pears. Apples were 120 kg more than pears. How many kg of apples and pears did the shop bring in? (draw a line diagram)

According to the meaning of the title, we can get the line diagram; 120 ÷ (5-1) = 30 (kg); 30 × 5 = 150 (kg). Answer: 150 kg of apples and 30 kg of pears are delivered from the store

If angle 1 and angle 2 complement each other, angle 2 and angle 3 complement each other, and angle 1 equals 50 degrees, then how many degrees does angle 3 equal?

Angle 1 is the complement of angle 2, and angle 3 is the complement of angle 2. Angle 1 is 50 degrees, and angle 3 is of course 50 degrees

As shown in the figure below, try the branch current method to calculate the branch currents I1, I2 and I3
 

The following 70V power supply is not marked positive and negative, it is considered to be associated with I1
The equations are: ①, I1 + I2 = I3 ②, 10i1 + 10i3 = 70 ③, 10i2 + 10i3 = 40
The solution is: I1 = 10 / 3a, I2 = 1 / 3a, I3 = 11 / 3a

A total of 828 students from Jinying primary school went to the park for a spring outing. They rented 19 buses and CMB cars. Each bus took 52 people, and each CMB took 52 people
A total of 828 students from Jinying primary school went to the park for a spring outing. They rented 19 buses and CMBS, with 52 people in each bus and 20 people in each CMB. How many buses and CMBS did Jinying primary school rent?

Set: XL for bus, y for CMB
The formula is: x + y = 19
52x+20y=828
The results are: x = 14, y = 5

1+2+… 100=5050?

=101*50=5050