Adding, Subtracting, and Multiplying Polynomials

Adding Polynomials

100

Add the following polynomials:

(x²+2x) + (2x²+3x +3)

3x² +6x +3

200

Add the following polynomials:

(3x³-x²+1) + (x³+2x²-4)

4x³+x²-3

300

Add the following polynomials:

(2x³+4x+5) + (x²+2x-4)

2x³+x²+6x+1

400

Add the following polynomials:

(x²-3x+4) + (-3x²-2x-4)

-2x²-5x

500

Simplify:

2(3m² - 4m - 10) + 7m(5m + 2)

41m² + 6m - 20

Subtracting Polynomials

100

Add the following polynomials:

(x²+2x) - (2x²+3x +3)

-x² -x -3

200

Add the following polynomials:

(3x³-x²+1) - (x³+2x²-4)

2x³ -3x² +5

300

Add the following polynomials:

(2x³+4x+5) - (x²+2x-4)

2x³ -x² +2x +9

400

Add the following polynomials:

(x²-3x+4) - (-3x²-2x-4)

4x² -x +8

500

Simplify:

4x(5x + 6) - 8(2x + 1)

20x² + 8x - 8

Multiplying Polynomials

100

Multiply the following polynomials: 

(2x+2)(x+3)

2x² +8x +6

200

Multiply the following polynomials: 

(x+3)²

x²+6x+9

300

Simplify:

(2x - 5y)(3x + y)

6x² - 13xy - 5y²

400

Multiply the following polynomials: 

(x-3)(x² +3x +3)

x³ -6x -9

500

Multiply the following polynomials: 

(x+2)(-x² -2x +1)

-x³ -4x² -3x +2

Distribute

100

Simplify:

3(2x² - 5x + 9)

6x² - 15x + 27

200

Simplify:

10x(4x - 5y + 10)

40x² -50xy + 100x

300

Simplify:

7xy(6x - 4 + 5y)

42x²y - 28xy + 35xy²

400

Simplify:

5m⁴n²(2m²n +3m³ - 6mn³)

10m⁶n³ +15m⁷n² - 30m⁵n⁵

500

Simplify:

-5rs²t³(2rst - 9r³st⁵ - 7rs²t² + 8rst)

-50r²s³t⁴ + 45r⁴s³t⁸ + 35r²s⁴t⁵