Factorization of 6x ^ 2-11xy-10y ^ 2 6X ^ 2 + 7X-20 cross multiplication

Factorization of 6x ^ 2-11xy-10y ^ 2 6X ^ 2 + 7X-20 cross multiplication

6X^2-11XY-10Y^2
=(2x-5y)(3x+2y)
6x^2+7x-20
=(3x-4)(2x+5)

There are two more questions in the factorization of ^ 2 + 11y!
2. A.B.C is the three sides of triangle ABC. Verification: A ^ 2-B ^ 2-C ^ 2-2bc < 0
3. Given that the polynomial 2x ^ 3-x ^ 2 + m has a factor 2x + 1, find the value of M

(1) 6X ^ 2 y ^ 2-11xy + 3 = (2xy-3) (3xy-1) (2) A.B.C is the three sides of the triangle ABC. Prove: A ^ 2-B ^ 2-C ^ 2-2bc < 0 prove: A ^ 2-B ^ 2-C ^ 2-2bc = A & sup2; - (B & sup2; + 2BC + C & sup2;) = A & sup2; - (B + C) & sup2; = (a + B + C) (a-b-c) according to the triangle trilateral relation, a

Factorization method 6x ^ 2-13x + 6
Examples of matching methods
x^2+2*x*4+4^2-4^2+12
=(x-4)^2-4
=(x-4+2)(x-4-2)
=(x-2)(x-6)

6x^2-13x+6
=6(x^2+13x/6+1)
=6(x^2+13x/6+169/144-169/144+1)
=6[(x-13/12)^2-25/144]
=6(x-13/12+5/12)(x-13/12-5/12)
=3(x-2/3)*2(x-3/2)
=(3x-2)(2x-3)