f, \(a^2-5a+14\) không phân tích được thành nhân tử.

i, \(2x^2+5x+2=2x^2+4x+x+2=2x\left(x+2\right)+\left(x+2\right)=\left(x+2\right)\left(2x+1\right)\)

g) 2(m+1)(m+4)

g) `2m^2+10m+8`

`=(2m^2+2m)+(8m+8)`

`=2m(m+1)+8(m+1)`

`=(m+1)(2m+8)`

f) `4p^2-36p+56`

`=(4p^2-8p)-(28p-56)`

`=4p(p-2)-14(p-2)`

`=(p-2)(4p-14)`

số đâu

21) \(=ab\left(x-5\right)+a^2\left(x-5\right)=a\left(x-5\right)\left(a+b\right)\)

22) \(=2a^2\left(x-y\right)+4a\left(x-y\right)=2a\left(x-y\right)\left(a+2\right)\)

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

24) \(=5x^2y\left(x-7\right)+5xy\left(x-7\right)=5xy\left(x-y\right)\left(x+1\right)\)

25) \(=2xy\left(a-1\right)+4x^2y\left(a-1\right)=2xy\left(a-1\right)\left(2x+1\right)\)

26) \(=4a\left(x-3\right)+2\left(x-3\right)=2\left(x-3\right)\left(2a+1\right)\)

27) \(=x^m\left(x-1\right)\)

28) \(=x^m\left(x+1\right)\)

29) \(=x^m\left(x^2-1\right)\)

30) \(=x^{m+1}\left(x-1\right)\)

29) \(=x^6\left(x^4-4x^2+4\right)=x^6\left(x^2-2\right)^2\)

30) \(=\left(2x^2\right)^3-\left(3y\right)^3=\left(2x^2-3y\right)\left(4x^4+6x^2y+9y^2\right)\)

31) \(=\left(a+b-c\right)\left(a^2+2ab+b^2-ac-bc+c^2\right)\)

32) \(=\left(x-y+1\right)\left(x^2+xy-x+y^2-2y+1\right)\)

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

34) \(=\left(x^3-y^3\right)\left(x^3+y^3\right)=\left(x-y\right)\left(x^2+xy+y^2\right)\left(x+y\right)\left(x^2-xy+y^2\right)\)

35) \(=\left(\dfrac{1}{3}+a\right)\left(\dfrac{1}{9}-\dfrac{a}{3}+a^2\right)\)

36) \(=-\left(m^3-9m^2+27m-27\right)=-\left(m-3\right)^3\)

37) \(=\left(5-x-2\right)\left(25+5x+10+x^2+4x+4\right)=\left(3-x\right)\left(x^2+9x+39\right)\)

a: \(=-3x\left(y-2\right)^3+\left(y-2\right)^4\)

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

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

=(x-1)(x^3-x-1)

=(x^2+x)^2+3(x^2+x)+2-12

=(x^2+x)^2+3(x^2+x)-10

=(x^2+x+5)(x^2+x-2)

=(x+2)*(x-1)(x^2+x+5)