đề sai r nhé bạn, phải là  4x^4 - 32x^2 +1 mới đúng:

 4x^4 - 32x^2 +1 = 4x^4 + 4x^2 +1 - 36x^2 = (2x^2 + 1)^2 - 36x^2 = (2x^2 - 6x + 1)(2x^2 + 6x + 1) 

4⁴-32x²+1

=256-32x²+1

=-(32*x²-257)

4x^4+4x^3+5^2+2x+1 = (4x^4+4x^3+x^2) + (4x^2+2x) + 1 = x^2(2x+1)^2 + 2x(2x+1) + 1 = [x(2x+1)]^2 +2x(2x+1) + 1 = (2x^2+x+1)^2

vầy ms đúng nà 

2*(2*x⁴+2*x³+x+13)

nếu là 5^2 thì như tui 

còn 5x^2 thì như Kami

\(x^2-4x+4-y^2\)

\(=\left(x-2\right)^2-y^2\)

\(=\left(x-2-y\right)\left(x-2+y\right)\)

(x - 2)² - y² = (x - 2 - y)(x - 2 + y)

\(x^2-4x-y^2+4=\left(x-2\right)^2-y^2=\left(x-y-2\right)\left(x+y-2\right)\)

\(x^2-4x+4-y^2\)

\(=\left(x-2\right)^2-y^2\)

\(=\left(x-2-y\right)\left(x-2+y\right)\)

(x - 2)² - y² = (x - 2 - y)(x - 2 + y)

\(=\left(x-2\right)^2-y^2=\left(x-y-2\right)\left(x+y-2\right)\)

4x²-4x+1=(2x)²-2.2x+1²=(2x-1)²

\(4x^2-4x+1\)\(=\) \((2x^2)-2.2x.1+1^2\)

\(=\left(2x-1\right)^2\)

Học tốt!