a: =(x-2)^2
b: \(=4\left(x+1\right)^3-\left(x+1\right)\)
\(=\left(x+1\right)\left[4\left(x+1\right)^2-1\right]\)
\(=\left(x+1\right)\left(2x+2-1\right)\left(2x+2+1\right)\)
\(=\left(x+1\right)\left(2x+1\right)\left(2x+3\right)\)
c: \(=\left(x-3\right)\left(5x+x-3-1\right)=\left(x-3\right)\left(6x-4\right)=2\left(3x-2\right)\left(x-3\right)\)
a) x(x - 2) + 2(2 - x)
= x(x - 2) + 2 (x - 2)
= (x - 2) (x + 2)
= (x - 2)2
b)4(x + 1)3 - x - 1
= 4(x + 1)3 - (x + 1)
= (x + 1) [4 (x + 1)2 - 1]
= (x + 1) (2x + 2 - 1) (2x + 2 + 1)
= (x + 1)(2x + 1)(2x + 3)
c)5x (x - 3) + (3 - x)2 - (x - 3)
= (x - 3) (5x + x - 3 - 1)
= (x - 3) (6x - 4)
= 2(3x - 2) (x - 3)
a: =(x-2)^2
b: =4(x+1)3−(x+1)=4(x+1)3−(x+1)
=(x+1)[4(x+1)2−1]=(x+1)[4(x+1)2−1]
=(x+1)(2x+2−1)(2x+2+1)=(x+1)(2x+2−1)(2x+2+1)
=(x+1)(2x+1)(2x+3)=(x+1)(2x+1)(2x+3)
c: =(x−3)(5x+x−3−1)=(x−3)(6x−4)=2(3x−2)(x−3)
