a)    \(3x^2-7x+2\)

\(=3x^2-6x-x+2\)

\(=3x\left(x-2\right)-\left(x-2\right)\)

\(=\left(x-2\right)\left(3x-1\right)\)

b)   \(a\left(x^2+1\right)-x\left(a^2+1\right)\)

\(=ax^2+a-a^2x-x\)

\(=ax\left(x-a\right)-\left(x-a\right)\)

\(=\left(x-a\right)\left(ax-1\right)\)

khai triển hết ra,rút gọn và nhóm

đúng đó ma tốc độ ,ai cùng ý kiến vs mk thì tick nha

chắc chắn ko ra bạn làm thử đi

a: \(x^4+3x^3+x^2+3x\)

\(=x\left(x^3+3x^2+x+3\right)\)

\(=x\left(x+3\right)\left(x^2+1\right)\)

c: \(x^2-xy-x+y\)

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

\(=\left(x-y\right)\left(x-1\right)\)

5^x+3 là số chẵn, 5^y+4 là số lẻ. Phân tích 516 = 2x2x3x43

do đó, 5^y+4 = 129, vậy y=3

5^x+3 = 4, nên x=0

a, = [(x-2).(x+1)]^2+(x-2)^2

    = (x-2)^2.(x+1)^2+(x-2)^2

    = (x-2)^2.[(x+1)^2+1]

    = (x-2)^2.(x^2+2x+2)

Tk mk nha

b)  \(6x^5+15x^4+20x^3+15x^2+6x+1\)

\(=6x^5+3x^4+12x^4+6x^3+14x^3+7x^2+8x^2+4x+2x+1\)

\(=\left(2x+1\right)\left(3x^4+6x^3+7x^2+4x+1\right)\)

\(=\left(2x+1\right)\left(3x^4+3x^3+3x^2+3x^3+3x^2+3x+x^2+x+1\right)\)

\(=\left(2x+1\right)\left(x^2+x+1\right)\left(3x^2+3x+1\right)\)

\(x^3\left(x^2-7\right)^2-36x\)

\(=x.\left[x^2.\left(x^2-7\right)^2-36\right]\)

\(=x.\left[\left(x^3-7x\right)^2-6^2\right]\)

\(=x.\left(x^3-7x-6\right).\left(x^3-7x+6\right)\)

\(=x.\left(x+1\right)\left(x^2-x-6\right).\left(x-1\right).\left(x^2+x-6\right)\)

\(=x.\left(x+1\right).\left(x+2\right).\left(x+3\right).\left(x-1\right).\left(x-2\right).\left(x-3\right)\)

Ta có : \(x^3\left(x^2-7\right)^2-36x\)

= \(x^3\left(x^4-14x^2+49\right)-36x\)

= \(x\left(x^6-14x^4+49x^2-36\right)\)

= \(x\left(x^2-1\right)\left(x^2-4\right)\left(x^2-9\right)\)---- chỗ này tắt 

= (x-3)(x-2)(x-1)x(x+1)(x+2)(x+3)

\(x\left(x^2\left(x^2-7\right)^2-6^2\right)=x\left(x^3-7-6\right)\left(x^3-7+6\right)=x\left(x^3-13\right)\left(x^3-1\right)\)