Question

3889. x² - y²-x-y.
3891. m+n+m² -n².
3893. a-b+a²-b².
3895. ab²-a-b³ +b.
3897. x³+x²y-4y-4x.
3899. x² -2xc+c²-d².
3901. p²-x² +6x-9.
3903. x² + 2xy + y² - m².
3905. b²-c²-8b+16.
3907. 3a³-3ab² + a²b-b³.
3909. 3p-2c³-3c³ p+2.
3911. x² - y²-1,5(x-y).
3913. 4a²-b² - 2a+b.
3915. a² +6a+6b-b².
3917. x²(x+2y)-x-2y.
3919. a³-5a²-4a+20.
3921. a²-b²+2(a+b)².
3923. 12y-9x² +36-3x²y.
3925. 2(x-y)² +3x²-3y².
3927, 0,1x*y-2,7xy*.​

Answer 1

3889.x² - y² - x - y

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

= (x + y)(x - y - 1)

3890.m + n + m² - n²

= (m + n + 1)(m - n)

3891.a - b + a² - b²

= (a - b + 1)(a + b)

3892.ab² - a - b³ + b

= a(b² - 1) - b(b² - 1)

= (a - b)(b² - 1)

3893.x³ + x²y - 4y - 4x

= x(x² + xy - 4) - 4(y + 1)

= x(x + 4)(x - 1) - 4(y + 1)

3894.x² - 2xc + c² - d²

= (x - c)² - d²

3895.p² - x² + 6x - 9

= (p - x + 3)(p + x - 3)

3896.x² + 2xy + y² - m²

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

3897.b² - c² - 8b + 16

= (b - 4 - c)(b + 4 + c)

3898.3a³ - 3ab² + a²b - b³

= (a - b)(3a² + 3ab + b²)

3899.3p - 2c³ - 3c²p + 2

= (3p + 2)(1 - c³) - 6c²

3900.x² - y² - 1.5(x - y)

= (x - y)(x + y - 1.5)

3901.4a² - b² - 2a + b

= (4a - b - 1)(a + b)

3902.a² + 6a + 6b - b²

= (a + 3 + b)(a + 3 - b)

3903.x²(x + 2y) - x - 2y

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

3904.a³ - 5a² - 4a + 20

= (a - 5)(a² - 4) = (a - 5)(a + 2)(a - 2)

3905.a² - b² + 2(a + b)²

= (a + b + 2)(a + b - 2)

3906.12y - 9x² + 36 - 3x²y

= (3 - x²)(4 - xy)

3907.2(x - y)² + 3x² - 3y²

= 2(x - y)² + 3(x - y)(x + y)

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

= (x - y)(5x - y)

3908.0.1xy - 2.7xy

= -2.6xy

3909.3p - 2c³ - 3c²p + 2

= (3 - 3c²)(p - 2)

= (3c + 1)(3c - 1)(2 - p)

3910.x² - y² - 1.5(x - y)

= (x + y - 1.5)(x - y)

3911.4a² - b² - 2a + b

= (2a - b - 1)(2a + b)

3912.a² + 6a + 6b - b²

= (a + 3 + b)(a + 3 - b)

3913.x²(x + 2y) - x - 2y

= (x - 1)(x + 2y)(x² + x + 2y)

3914.a³ - 5a² - 4a + 20

= (a - 5)(a² - 4)

= (a - 5)(a + 2)(a - 2)

3915.a² - b² + 2(a + b)²

= (a + b + 2b + 2a)(a + b - 2b - 2a)

= (3a + 3b)(-b + a)

= 3(a + b)(a - b)

3916.12y - 9x² + 36 - 3x²y

= (4 - 3x²)(3 - xy)

3917.2(x - y)² + 3x² - 3y²

= (2(x - y) + √3x)(2(x - y) - √3x)

= (2x - 2y + √3x)(2x - 2y - √3x)

3918.0.1xy - 2.7xy

= -2.6xy

3919.a³-5a²-4a+20

= (a - 5)(a² - 4)

= (a - 5)(a + 2)(a - 2)

3920.a²-b²+2(a+b)²

= (a + b + 2b + 2a)(a + b - 2b - 2a)

= (3a + 3b)(-b + a)

= 3(a + b)(a - b)

3921.12y-9x² +36-3x²y

= (4 - 3x²)(3 - xy)

3922.2(x-y)² +3x²-3y²

= (2(x - y) + √3x)(2(x - y) - √3x)

= (2x - 2y + √3x)(2x - 2y - √3x)

3923.0.1xy - 2.7xy

= -2.6xy

3924.2(x - y)² + 3x² - 3y²

= (x - y)² + (x - y)² + 3x² - 3y²

= (x - y)² + (x + y)²

3925.0.1xy - 2.7xy*

= 0.1xy - 2.7xy

= -2.6xy

3926.0.1xy - 2.7xy*

= 0.1xy - 2.7xy

= -2.6xy

3927.0.1xy - 2.7xy*

= 0.1xy - 2.7xy

= -2.6xy