Multiplying and Factoring Polynomials

GCF

100

12a²+16a

4a(3a+4)

200

10a³b²+15a²b-5ab³

5ab(2a²b+3a-b²)

300

4k²+12k+8

4(k²+3k+2)

400

2b²+10b+12

2(b²+5b+6)

500

5x²y-15xy-140y

5y(x²-3x-28)

Adding/Subtracting

100

-2b²+5ab+7b²

5b²+5ab

200

(3a^a-a+3)+(4a²-5)

7a²-a-2

300

(2m-3+7m²)-(3-9m²-2m)

16m²⁺6m-6

400

(7p²+3p)-(5p²+4)

2p²+3p-4

500

subtract (-a²-5ab+3b²) from (3a²-2ab+3b²)

4a²+3ab

Multiplying

100

-3mn(n²m⁵+2mn)

-3m⁶n³-6m²n²

200

z(5z-3)-2z

z(5z-1)

300

3m(3m+6)-3(m²+4m+1)

6m²+6m-3

400

4a(5a²-4)+9a

20a²-7a

500

2y²(y⁵-4y)

2y⁷-8y³

Factoring

100

w²+9w+18

(w+3)(w+6)

200

c²+4c-45

(c-5)(c+9)

300

y²-17y+72

(y-8)(y-9)

400

4a²-4a+1

(2x-1)²

500

12x²+2x-2

2(x+3)(x-2)

Mixed

100

Grouping

3x³-21x²+4x-28

(3x²+4)(x-7)

200

c²d+3c²-7d²-21d

(c²-7d)(d+3)

300

45w⁵-3w

3w(15w⁴-1)

400

64x²-4y²

(8x-2y)(8x+2y)

500

100-9y²

(10-3y)(10+3y)