Factorization of the square of 15x (a-b) - 3Y (B-A) | Math enthusiast | Mathematical art

Factorization of the square of 15x (a-b) - 3Y (B-A)

=15x(a-b)²+3y(a-b)
=3(a-b)(5ax+5bx+y)

Factorization of 3x ^ 2 + 12xy + 11y ^ 2

3x^2+12xy+11y^2
=3x^2+12xy+12y^2-y^2
=3(x+2y)^2-y^2
=[a(x+2y)+y][a(x+2y)-y]
A = root 3

Factorization of 3x ^ 2 + 12xy + 11y ^ 2 in real number range

3x^2+12xy+11y^2
=3x^2+12xy+12y^2-y^2
=3(x+2y)^2-y^2
=[radical 3 (x + 2Y) + y] [radical 3 (x + 2Y) - y]

RELATED INFORMATIONS

1. What if the discriminant of a quadratic function is a quadratic function? For example: F (x) = x & # 178; + (2m-1) x + 2m & # 178; + 1 △=（2m-1）² -4（2m²+1）
2. When the quadratic function is greater than or equal to 0, the discriminant is less than or equal to 0. Why? It can be illustrated with examples
3. In the quadratic equation, if the discriminant = 0, how many roots does the equation have, one or two?
4. The square of a minus 4a is equal to?
5. Square-a + B factorization of 2 (a-b)
6. Factorization: the square C of 18 (a + b) and the square C of 2 (a-b)
7. (a + B + C) (a square + b square + C square - AB AC BC) + 3ABC
8. Factorization: AB-A + B + 1
9. First decompose the factor, and then evaluate: (a ^ 2 + B ^ 2-2ab) - 6 (6a-6) + 9, where a = 10000, B = 9999
10. The square of the equation KX with respect to X - (2k-1) x + k = 0
11. Factorization x ^ 4 + x ^ 3-4x-4
12. Factorization: 4x quartic - 65x square y square + 16y quartic
13. How to solve the square of X - 64x + 240 = 0,
14. Fast factorization of x ^ 2 (A-1) + 4 (1-A)
15. If | 3x-y + 5 | + (2x + Y-10) square = 0, then x =? Y =?
16. Decomposition factor (a + x) ^ (M + 1) (B + x) ^ (n-1) - (a + x) ^ m (B + x) ^ n=
17. The following polynomials can be decomposed by common factor method is a x ^ 2 + 16x + 64 B x ^ 2-16x-64 C x ^ 2 + 4xy + y ^ 2 D x ^ 2-4xy-4y ^ 2
18. Common factor (x + Y-Z) (X-Y + Z) + (y-x-z) (Y-X + Z) This is factorization
19. How to extract the common factor from the square of x plus the square of X multiplied by the square of x plus the product of x minus 2 minus 3 (x2+x)(x2+x-2)-3
20. 3x-12x ^ 2 factorization common factor （1）3x-12x^2 （2）x(x-y)+y(y-x)