f.2maths(急急急!!)

Simplify the following.

1. a) (12x^ + 5xy^ - 3x^y^)+(2y^ - 4xy + x^y^)
= 12x^ + 5xy^ - 3x^y^ + 2y^ - 4xy + x^y^
= 12 X^ - 2x^y^ + 5xy^ - 4xy + 2y^

1. b)(49x^y3次方 -3xy - 9y^)-(-17y^ - 6x3次方y + 7xy)
= 49x^y3次方 - 3xy - 9y^ + 17y^ + 6x3次方y + 7xy
= 6x3次方y + 49x^y3次方 + 4xy + 8y^
= y( 6x3次方 + 49x^y^ + 4x + 8y)

Expang the following.

2. a) (4x + 3)^
= (4x)^ + 2(4x)(3)+ 3^
= 16x^ + 24x + 9

2. b) (-3x - 4)^
= (-3x)^ - 2(-3)(4) + (4)^
= 9x^ - 24x + 16

3. a) (x - 1)(x - 2)(x - 3)
= [(x)^ - (x)(2) - (1)(x) + (1)(2)] (x -3)
= ( x^ - 2x - x + 2 )(x - 3)
= ( x^ - 3x + 2 ) (x - 3)
= x3次方 - 3x^ - 3x^ + 9x + 2x - 6
= x3次方 - 6x^ + 11 x - 6

3. b) (x + 1)(2x + 1)(3x + 1)
= [(x)(2x) + (x)(1) + (1)(2x) + (1)(1)](3x + 1)
= ( 2x^ + x + 2x + 1 )(3x + 1)
= ( 2x^ + 3x + 1 ) (3x + 1)
= ( 2x^)(3x) + (2x^)(1) + (3x)(3x) + (3x)(1) + (1)(3x) + (1)(1)
= 6x3次方 + 2x^ + 9x^ + 3x + 3x + 1
= 6x3次方 + 11x^ + 6x + 1

請問 ^ 代表什麼呢?