Polynomials!

Adding Polynomials

100

(2x + 3y) + (4x + 9y)

6x + 12y

200

(m² - m) + (2m + m²)

2m² + m

300

(2x² - 5x) + (7x - 3x²)

-x² + 2x

400

(5n + m - 2) + (-2n + 3)

3n + m + 1

500

(w² - 4w - 1) + ( -5 + 5w² - 3w)

6w² - 7w - 6

Subtracting Polynomials

100

(11m - 7n) - (2m + 6n)

9m - 13n

200

(x² - 3x) - (2x² + 5x)

-x² - 8x

300

(d² - d + 5) - (2d + 5)

d² - 3d

400

(x³ - 3x + 1) - (x³ + 7 - 12x)

9x - 6

500

(4y² + 2y - 8) - (7y² + 4 - y)

-3y² +3y - 12

Solving Equations

100

3(x + 2) + 5 = 2x + 4

x = -7

200

6(m - 2) + 14 = 3(m + 2) - 10

m = -2

300

3(3n + 2) + 5 = 2(2n - 2)

n = -3

400

4(8n + 3) - 5 = 2(6n + 8) + 1

n = 1/2

500

x(x + 4) - 1 = x(x + 2) + 2

x = 3/2

Multiplying Polynomials

100

(x + 7)(x + 4)

x² + 11x + 28

200

(x + 5)(x - 6)

x² - x - 30

300

(4x + 3y)(2x + 3y)

8x² + 18xy + 9y²

400

(3m + 2)(9m² + 6m + 4)

27m³ + 36m² + 24m + 8

500

(3y² + 2y + 2)(3y² - 4y -5)

9y⁴ - 6y³ - 17y² -18y -10

Special Cases

100

(n + 3)²

n² + 6n + 9

200

(y - 7)²

y² -14y +49

300

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

9x² - 4

400

(x - 4y)²

x² - 8xy + 16y²

500

(3m² - n)²

9m⁴ - 6m²n + n²