Operations with Polynomials

Operations with Polynomials

100

Add 3x² + 4y and 6x² - 3y

9x² + y 

200

Simplify 5x - 3y - 7x + y 

-2x - 2y 

300

a¹⁶/a⁴

a¹²

400

(2x² - 3x) (x - 1) 

2x³ - 5x² + 3x 

500

m - [2 - (2 - m)]

0

Special products of Binomials

100

(2x + 7) (2x - 7) 

4x² - 49 

200

(1 - 4x)² 

1 - 8x + 16x²

300

(xy + 5z) (xy - 5z) 

x²y² - 25z²

400

(mx + 2) (mx + 2)

m²x² + 4mx + 4

500

(a + 2b)²

a² + 4ab + 4b²

Negative integers as exponents

100

(1/4)^-2 + (1/2)³

129/8 

200

5^-3 times 5⁵

25

300

(2/3)^-3 (3/2)^-2

3/2 

400

9/10^-2

900

500

(2a^-3)^-4 + (4x^-4)^-2

1/16a¹² + 1/16x⁸