Đáp án:

Giải thích các bước giải:

 Bài `1`

`1`

`(x+1)^2 = x^2 + 2x +1`

`2`

`(4+x)^2=16 + 8x + x^2`

`3`

`(6-x)^2 = 36 - 12x + x^2`

`4`

`(x-5)^2 = x^2 - 10x + 25`

`5`

`(5x+1)^2 = 25x^2 + 10x + 1`

`6`

`(2x+3)^2= 4x^2 + 12x + 9`

`7`

`(2x-1)^2 = 4x^2 - 4x +1`

`8`

`(3x-2)^2 = 9x^2 -12x + 4`

`9`

`(x+2y)^2 = x^2 + 4xy +4y^2`

`10`

`(x+5y)^2 = x^2 + 10xy + 25y^2`

`11`

`(x-2y)^2 = x^2 -4xy + 4y^2`

`12`

`(2x-y)^2 = 4x^2 -4xy + y^2`

`13`

`(3x+5y)^2 = 9x^2 + 30xy + 25y^2`

`14`

`(2x-3y)^2=4x^2  -12xy +8y^2`

`15`

`(2x-3y)^2 = 4x^2 + 12xy +9y^2`

`16`

`(2x-5y)^2 = 4x^2 - 20xy + 25y^2`

`17`

`(x^2+9)^2 = x^4 + 18x^2 + 81`

`18`

`(2x^2 +1)^2 = 4x^4 + 4x^2 + 1`

`19`

`(x^2 -y^2)^2 = x^4 - 2x^2y^2 + y^4`

`20`

`(3x-y^2)^2 = 9x^2 -  6xy^2  + y^4`

`21`

`(x+2y^2)^2 = x^2 + 4xy^2 + 4y^4`

`22`

`(2x+3y^2)^2 = 4x^2 + 12xy^2 + 9y^4`

`23`

`(4x-2y^2)^2 = 16x^2 - 16xy^2 + 4y^4`

`24`

`(4x^2 - 2y)^2=16x^4 - 16x^2y +4y^2`

Bài `2`

`1`

`x^2-4 = (x-2)(x+2)`

`2`

`1-4x^2 = (1-2x)(1+2x)`

`3`

`4x^2 -9 = (2x-3)(2x+3)`

`4`

`9-25x^2 =(3-5x)(3+5x)`

`5`

`4x^2 - 25 = (2x-5)(2x+5)`

`6`

`9x^2 -36 = (3x-6)(3x+6)`

`7`

`(3x)^2- y^2 = (3x-y)(3x+y)`

`8`

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

`9`

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

`10`

`(3x)^2 - 9y^2 = (3x-3y)(3x+3y)`

`11`

`16x^2 - (y^2)^2 = (4x-y^2)(4x+y^2)`

`12`

`x^4 - (3y^2)^2 = (X^2 - 3y^2)(x^2 +3y^2)`

`13`

`(x-1)(x+1) =x^2 -1`

`14`

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

`15`

`(x-6)(6+x) = x^2 - 36`

`16`

`(2x+1)(2x-1) = 4x^2 -1`

`17`

`(x-2y)(2y+x)  = x^2- 4y^2`

`18`

`(5x-3y)(3y+5x) = 25x^2 - 9y^2`