Factorization x (x + 1) (x ^ 2 + 5x + 6) - 8 x ^ 2 + 5xy + X + 3Y + 2Y ^ 2

Factorization x (x + 1) (x ^ 2 + 5x + 6) - 8 x ^ 2 + 5xy + X + 3Y + 2Y ^ 2

x(x+1)(x^2+5x+6)-8
= x(x+1)(x+2)(x+3) - 8
= {x(x+3)}{x+1)(x+2)} - 8
= {x^2+3x}{x^2+3x+2} - 8
= (x^2+3x)^2 + 2(x^2+3x) - 8
= (x^2+3x+4)(x^2+3x-2)
x^2+5xy+x+3y+2y^2
= x^2+2xy+y^2+3xy+x+3y+y^2
= (x^2+2xy+y^2)+(3xy+x)+(3y+y^2)
= (x+y)^2 + x(3y+1)+y(3y+1)
= (x+y)^2 + (3y+1)(x+y)
=(x+y)(x+y+3y+1)
=(x+y)(x+4y+1)

If you want to find the square of the common factor 2x2 + 9x-5 2x plus nine x minus 5 X3 + x2-2x-2 x plus the square of x minus two x minus two, you'd better think too much

2X & sup2; + 9x-5 = (2x-1) (x + 5) cross multiplication;
x³＋x²－2x－2
=x²（x＋1）－2（x＋1）
=(x + 1) (X & sup2; - 2) to this rational range
=（x＋1）（x＋√2）（x－√2）.

How to solve (x 10 1) - 2 (x 10 1) (2-x) + (2-x) = 0 by decomposing common factor method?

Equal to [(x + 1) + (2-x)] ^ 2 = 0

The travel problem of the first day of junior high school. We need to solve the equation of first degree with one variable!
1. It is known that it takes three hours for a and four hours for B to go from a to B at the same time. Ask how long it takes for a to go to B, and the distance from a to B is half the distance from B to B
2. It is known that it takes three hours for a to go from a to B, and five hours for B to go from a to B. If a and B go from a to B at the same time, a will return immediately after arriving at B. how many hours does it take from departure to meeting

He walked for X hours
1／2（1-1／4x)=1-1/3x
X = 12 / 5 A: 12 / 5 hours
It takes x hours
1/3x-1+1/5x=1
X = 15 / 4 A: 15 / 4 hours

The sum of any four adjacent numbers in a column is 45. Given that the sixth is 11, the 19th is 5, and the 44th is 20, what is the first number? What is the 210th number?

Let the sequence be an
From the meaning of the title,
am+a（m+1）+a（m+2）+a（m+3）=45
a（m+1）+a（m+2）+a（m+3）+a（m+4）=45
therefore
am=a（m+4）
Promotion is available
Am = a (M + 4) = a (M + 8) =... = a (M + 4K) (k is an integer)
therefore
a2=a6=11
a3=a19=5
a4=a44=20
therefore
a1=45-a2-a3-a4=9
a210=a（210-4*52）=a2=11

Cubic of - 2 × (0.1) × (square of - 10) + (- 0.8)

Cubic of - 2 × (0.1) × (square of - 10) + (- 0.8)
=-2×0.01×（-100）-0.8
=-0.02×（-100）-0.8
=2-0.8
=1.2

The following propositions: 1. The two angles of a trapezoid with equal diagonals on the same base are equal. 2. A straight line passing through the midpoint of one side of the triangle and parallel to the other side must bisect the third side. 3. The median line of the triangle is equal to half of the third side. 4. If the median line of the trapezoid is bisected by two diagonals, the bottom of the trapezoid is three times of the top
Which ones are right? If conditions permit, 2 4. If they are right, give me proof

123 correct, 4 incorrect should be twice as much

There are 10 red balls, 9 white balls, 8 yellow balls and 2 blue balls in one bag. How many balls can you take with your eyes closed to ensure that at least four balls have the same color

2 + 3 × 3 + 1 = 12

How big a house is 3000 square meters
emergency

We usually say square meters refers to the area surrounded by several sides. Usually, a calculation method is length * width. 3000 square meters is equivalent to the area surrounded by two same sides of 3000 meters in length and 1 meter in width, or a square surrounded by sides of 54.77 meters in length and width. Generally, adults walk normally for three steps, which is about two meters. You can try to measure it briefly with steps

How to write winter vacation homework in grade five of primary school

It's important that the teacher won't look at the winter vacation homework. So... Don't do it on the first day, the second day, the third day... Turn it out on the last day and fill it in from the beginning to the end, Hand in the teacher the next day, and the teacher will turn it over in one second