1.因式分解
(1)x²+(k+2)x+(K+1)
(2)(t²+4t)²-2(t²+4t)-24
(3) 4a²-(a²+b²)²
(4)x³-8x²y-20xy²
需要些过程 谢谢!
1.因式分解
(1)x²+(k+2)x+(K+1)
(2)(t²+4t)²-2(t²+4t)-24
(3) 4a²-(a²+b²)²
(4)x³-8x²y-20xy²
需要些过程 谢谢!
(1)x²+(k+2)x+(K+1)
=(x+1)(x+k+1)
(2)(t²+4t)²-2(t²+4t)-24
=(t²+4t+4)(t²+4t-6)
=(t+2)²(t²+4t-6)
(3) 4a²-(a²+b²)²
=(2a+a²+b²)(2a-a²-b²)
=-(a+b)²(a-b)²
(4)x³-8x²y-20xy²
=x(x²-8xy-20y²)
=x(x+2y)(x-10y)
(1)x²+(k+2)x+(K+1)
=x²+(k+1+1)x+(K+1)
=x²+x+(k+1)x+(K+1)
=x(x+1)+(k+1)(x+1)
=(x+1)(x+k+1)
(2)(t²+4t)²-2(t²+4t)-24
=(t²+4t-6)(t²+4t+4)
=(t²+4t-6)(t+2)²
(3) 4a²-(a²+b²)²
=(2a+a²+b²)(2a-a²-b²)
= -(a+b)²(a-b)²
(4)x³-8x²y-20xy²
=x(x²-8xy-20y²)
=x(x-10y)(x+2y)