Đáp án + Giải thích các bước giải:

 a)

10x^2 +17x-6

= 10x^2 +20x -3x-6

= (10x^2 +20x)-(3x+6)

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

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

b)

x^2+y^2 +2x-2y-2xy

= (x^2-2xy+y^2)+(2x-2y)

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

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

c)

4x^2 -4xy +y^2 - 25a^2 +10a-1

= (4x^2 -4xy+y^2)-(25a^2 -10a+1)

= (2x-y)^2 -(5a-1)^2

= [(2x-y)-(5a-1)][(2x-y)+(5a-1)]

= (2x-y-5a+1)(2x-y+5a-1)

d)

m^2 - 6m+9-x^2+4xy-4y

= (m^2 - 6m+9)-(x^2 - 4xy+4y)

= (m-3)^2 - (x-2y)^2

= [(m-3)-(x-2y)][(m-3)+(x-2y)]

= (m-3-x+2y)(m-3+x-2y)

Đáp án + Giải thích các bước giải:

a). 10x^2 +17x-6

= 10x^2 +20x -3x-6

= (10x^2 +20x)-(3x+6)

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

________________________________________

b). x^2+y^2 +2x-2y-2xy

= (x^2-2xy+y^2)+(2x-2y)

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

_______________________________________

c). 4x^2 -4xy +y^2 - 25a^2 +10a-1

= (4x^2 -4xy+y^2)-(25a^2 -10a+1)

= (2x-y)^2 -(5a-1)^2

= (2x-y-5a+1)(2x-y+5a-1)

_____________________________________

d). m^2 - 6m+9-x^2+4xy-4y

= (m^2 - 6m+9)-(x^2 - 4xy+4y)

= (m-3)^2 - (x-2y)^2

= (m-3-x+2y)(m-3+x-2y)

#NTruc