factoring and polynomials

subtracting

100

(-x²+3x)-(5x+2x²)

-1x²-2x

200

4x²+8x+2)-(2x+3)

4x²+6x-1

300

(x²-4x-1)-(5x²-3x-5)

-4x²-1x+4

400

(5x²+6x+2)-(7x²-7x+5)

-2x²+13x-3

500

(x³-2x²+4x+6)-(-4x+2x²-3)

x³-2x²+6x+9

addition

100

(4y+5)+(-7y-1)

-3y+4

200

(3x²-4x+8)+(-1x²-2x+3)

2x²-6x+11

300

(-4x²-x+9)+(x²+3x-1)

-3x²+2x+8

400

(3x²-8x+7)+(2x²-6x+12)

5x²-14x+19

500

(4x²-3x+10)+(x²+x-2)

5x²-2x+8

multiplying

100

(x-7)(x+7)

x²-49

200

(2x+3)²

4x²+12x+9

300

(3x+2)(x-4)

3x²-10x-8

400

(5x-1)(2x+1)

10x²+3x-1

500

(4x²+x-1)(3x-7)

12x³-25x²-10x+7

factor out GCF

100

4x+12

4(x+3)

200

3x²-9x-3

3(x²-3x-1)

300

-9x²-21x

-3x(3x+7)

400

15x²y⁴+20xy³

5xy³(3xy+4)

500

9x³+15x²-15x-25

(3x+5)(3x²-5)

a-c method

100

2x²-3x-2

(x-2)(2x+1)

200

x²-x-26

prime

300

6x²+3x-9

3(x-1)(2x+3)

400

x²-11x+10

(x-10)(x-1)

500

5x²+37x+14

(5x+2)(x+7)