Algebra project

multiplying polynomials

100

(6m⁴+3n²)(-mn²+6n²+n-2)

36m⁴n²+9n⁴+3n³-6n²

200

(3r-5)(8r+4)

24r²-28r-20

300

(3k+2)(4k²+6k+2)

12k³+26k²+18k+4

400

5p⁶(6p-6)

30p⁷-30p⁶

500

17h(4h+35)

68h+595h

adding polynomials

100

(2x³-6)+(9x³-4x²)

11x³-4x²-6

200

(2+3x⁴)+(5x⁴+3)

8x⁴+5

300

(5x⁴-2x)+(4x-2x⁴)

3x⁴+2x

400

(4+2x)+(4-x)

x+8

500

(2x³-1)+(x³-4)

3x³-5

subtracting polynomials

100

(5-2p⁴+7p²)-(4p²-7-p⁴)

-p⁸+3p²+12

200

(3v⁴-3v)-(3v-3v⁴⁾

6v⁸

300

(3b²+2b-2)-(b²-3b+7)

2b⁴+5b-9

400

(12a⁵-6a-10a³)-(10a-2a⁵-14a⁴)

10a⁵+14a⁴-10a³-16a

500

(2p³-8p-5p⁴+7)-(4p-2-6p⁴+6p³)-(6p+3p³-7+8p⁴)

-7⁴-9p³-18p+16

simplifying rational expressions

100

5   -  2

6x   3

4x+5

6x

200

2         +  7

5x-20      x-4

37

5(x-4)

300

2      +   3

x-5        x-7

5x-19

(x-7)(x-5)

400

x+3     x   x²+3x+2

5x+20    x²+5x+6

x+1

5(x+4)

500

15x     divided by  5x

45x³                          9x⁴

3

5x³

factoring polynomials

100

7x+21y

7(x+3y)

200

8x²y+12xy²

4xy(2x+3y)

300

36x³y²-60x⁴y³

12x³y²(3-5xy)

400

y²-64

(y+8)(y-8)

500

81x²-36y²

9(3x+2y)(3x-2y)