Calculate (1 / 3A ^ 2b) ^ 2 * (- 9ab ^ 3) / (- 1 / 2A ^ 4B ^ 2) factorization: 4x ^ 2 (X-Y) + (Y-X)

Calculate (1 / 3A ^ 2b) ^ 2 * (- 9ab ^ 3) / (- 1 / 2A ^ 4B ^ 2) factorization: 4x ^ 2 (X-Y) + (Y-X)

(1/3a^2b)^2*(-9ab^3)/(-1/2a^4b^2)
=(1/9a^4b^2*-9ab^3)/(-1/2a^4b^2)
=2ab^3
4x^2(x-y)+(y-x)
=(x-y)(4x^2-1)
=(x-y)(2x-1)(2x+1)

Factorization of 3A ^ 3b-2a ^ 2B ^ 2-7ab ^ 3

2B + 3b-3a-5b + 3, where a = - 1. B = 2, first simplify, then evaluate

=[2+3+(-5)]b+3a+3
=3a+3
When a = - 1, B = 2, the original formula is 3A + 3
=3*-1+3
=0

The solution of the equation | X - | 3x + 1 | = 4 is_________

The original equation is equivalent to
① X - | 3x + 1 | = 4, we get: | 3x + 1 | = x-4, from the right side of the equal sign, we get x-4 ≥ 0, that is, X ≥ 4, so the equation is changed to 3x + 1 = x-4, and we get x = - 2.5
② When X - | 3x + 1 | = - 4, we get | 3x + 1 | = x + 4. When x ≥ - 1 / 3, the equation can be reduced to 3x + 1 = x + 4, and we get x = 1.5, which is in line with the equation
When x

sin10+sin20-1/2

sin10+sin20-1/2 = 0.3689241398383-0.5
=-0.1311

3.5 times of a number is 5.94 more than 4.56. Find the number

Let this number be X
3.5X-4.56=5.94
3.5X=10.5
X=10.5/3.5
X=3
The number is three

Tan (π / 4 - α) = - 1 / 3, then sin (2 α + π / 4) is?

∵tan(¼π-α)=(1-tanα)/(1+tanα)=-1/3,∴tanα=2,∴sin2α=2tanα/(1+tan²α)=4/5,cos2α=(1-tan²α)/(1+tan²α)=-3/5,∴sin(2α+¼π)=½√2(sin2α+cos2α)=√2/10.

In the coordinate system, the distance between point P (2, - 3) and point Q (- 1,1) is equal to --- unit length, and the midpoint coordinate of line PQ is
urgent need

Is the distance formula between two points
PQ midpoint: (2-1 / 2, - 3 + 1 / 2) = (1 / 2, - 1)

Find the period of function y = sin (x + 1 / 3 Wu) sin (x + 1 / 2 Wu)

Y = sin (x + 1 / 3) sin (x + 1 / 2)
=-1/2[cos(2x+5π/6)-cos(-π/6)]
therefore
T=2π/w=2π/2=π

A linear equation passing through point (5,2) with an intercept on the x-axis twice that on the y-axis

Two cases
1. Crossing the origin
y=kx
Substitution point (5,2)
The solution is k = 2 / 5
therefore
y=（2/5）*x
2. Use intercept type
x/（2a）+y/a=1
Substitution point (5,2)
The solution is a = 9 / 2
Well organized
y=-（1/2）x+9/2