Factorization: 2x ^ 2 (y + 2) - 3Y ^ 2 (x-3) - 12xy

Factorization: 2x ^ 2 (y + 2) - 3Y ^ 2 (x-3) - 12xy

Hello!
Original formula = 2x ^ 2Y + 4x ^ 2-3xy ^ 2 + 9y ^ 2-12xy
=(4x^2-12xy+9y^2)+2x^2y-3xy^2
=(2x-3y)^2+xy(2x-3y)
=(2x-3y)(2x-3y+xy)
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Factorization (1 + x) ^ 3 (2-3y) ^ 2 - (x + 1) (3y-2) ^ 2 + (- 1-x) ^ 2 (3y-2) ^ 3
Detailed steps, thank you

(1+x)^3(2-3y)^2-(x+1)(3y-2)^2+(-1-x)^2(3y-2)^3=(x+1)^3(3y-2)^2-(x+1)(3y-2)^2+(x+1)^2(3y-2)^3=(x+1)(3y-2)^2[(x+1)^2-1+(x+1)(3y-2)]=(x+1)(3y-2)^2[(x^2+2x+3xy-2x+3y-2)]=(x+1)(3y-2)^2（x^2+3xy+3y-2）

Factorization: (x + 3Y) 2 - (x + 3Y)=______ ，（a-b）2-（b-a）3=______

（x+3y）2-（x+3y）=（x+3y）（x+3y-1），（a-b）2-（b-a）3=（a-b）2（a-b+1）．

-2B ^ 3 + 3A ^ 2 + 16A is factorized with a complete square lion

-2B ^ 3 + 3A ^ 2 + 16A can't be decomposed by complete square, which doesn't conform to complete square. The complete square formula is (a ± b) &# 178; = A & # 178; ± 2Ab + B & # 178; hope to help you,

The solution of 12.5x = 10x + 5 equation

12.5x=10X+5
12.5x-10x=5
(12.5-10)x=5
2.5x=5
x=2

It is known that the focus of the ellipse is on the x-axis, the focal length is 6, and the sum of the distances from a point on the ellipse to the two focuses is 10

From the definition of ellipse, 2C = 6, 2A = 10
So C = 3, a = 5
b²=a²-c²=16
So the standard equation of ellipse is X & # 178 / 25 + Y & # 178 / 16 = 1

How to solve the problem that the sum of x square plus change sign 3 plus 1 multiplied by x equals 0

X squared plus 3 equals minus 1

cos25°cos35°-sin25°sin35°=______ ．

Cos25 ° cos35 ° - sin25 ° sin35 ° = cos (25 ° + 35 °) = cos60 ° = 12

Solving the equation 5x + 2Y = 17 in the range of positive integers
Write the detailed process

5x + 2Y = 17 get y = - 2.5x + 8.5, because it is a positive solution, so Y > 0, x > 0. - 2.5x + 8.5 > 0, and X is an integer, so 0

What's 60 degrees? What's 60 parts of Pi

π/3,