If the square of a + A-1 = 0, find the fourth power of a + the third power of 2A - a-5, who will answer the process

If the square of a + A-1 = 0, find the fourth power of a + the third power of 2A - a-5, who will answer the process


a^2+a-1=0
a^2+a=1
a^4+2a^3-a-5
=a^4+a^3+a^3-a-5
=a^2(a^2+a)+a^3-a-5
=a^2+a^3-a-5
=a(a^2+a)-a-5
=a-a-5
=-5



Given a = - 3x ^ 2-2mx + 3x + 1, B = 2x ^ 2 + 2mx-1, and the value of 2A + 3B has nothing to do with X, find the value of M


(idea) if the value of 2A + 3b is independent of X, then the coefficient of X must be 0
2A+3B=2(-3x^2-2mx+3x+1)+3(2x^2+2mx-1)
=-4mx+6x+2+6mx-3
=(-4m+6+6m)x-1
=(6+2m)x-1
Since the value of 2A + 3B has nothing to do with X, 6 + 2m = 0, then M = - 3
To sum up, M = - 3



Given that a = 3x ^ 2-2mx + 3x + 2, B = 2x ^ 2 + MX + 1, and the value of 2a-3b has nothing to do with X, try to find the value of M
The faster, the better. The faster, the more points


2A-3B
=6x²-4mx+6x+4-6x²-3mx-3
=(-7m+6)x+1
Independent of X, the coefficient is 0
-7m+6=0
m=6/7