Algebra (Simplifying Polynomials)

Adding Polynomials

100

(x+5)+(4x-7)

What is 5x - 2?

200

(w³ - 2w² - 5)+(3w² - 11)

What is w³ + w² - 16?

300

(8x² - 3y - 5x) + (-2y+13x+5x²)

What is 13x² + 8x - 5y?

400

(x² - 4x + 3)+(3x² - 3x - 5) + (10x³ + 12x² - 7x)

What is 10x³ + 16x² - 14x - 2?

500

(x²y² + 2x² - 7y²) + (9y² - 3x²y² - 8x²) + (x² - 5y²)

What is -2x²y² - 5x² - 3y²?

Subtracting Polynomials

100

(d - 9) - (3d - 1)

What is -2d - 8 ?

200

( y² - 4y + 9) - (3y² - 6y - 9)

What is -2y² + 2y +18?

300

(4m² - m + 2) - (-3m² + 10m + 4)

What is 7m² - 11m - 2?

400

(-x² + 9xy) - (x² + 6xy - 8y²) - (13xy - 17y²)

What is -2x² - 10xy +9y²?

500

(4d - 6d³ + 3d²) - (10d³ + 7d - 2) - (14 + d²)

What is -16d³ +2d² -3d -16?

Multiplying Polynomials

100

7x²y(10x² - 2xy + 3y²)

What is 70x⁴y - 14x³y² + 21x²y³?

200

x³(x-7)

What is x⁴- 7x?

300

-8n(2n +3n)

What is -16n² - 24n?

400

y³(6y² - 10y + 9)

What is 6y⁵ - 10y⁴ + 9y³

500

-11x²⁰(x + 3x² - 7x⁴⁰)

What is -11x²¹ - 33x²² + 77x⁶⁰?