Algebraic Expressions

Combining Like Terms

100

3x³+4x²+3 + 2x²+1 =

3x³+6x²+4

200

4x⁵ + 2x³ - x + x⁵ - x³ + x =

5x⁵ +x³

300

-2y³ + 2y - 1 + 7y³+ y + 2 =

5y³ +3y + 1

400

-4m³ - m² - 8 + 2m³ + m + 2 =

-2m³ - m² + m - 6

500

-11y³ + 5x³ - 4xy + 5x³ + 3xy + 8y³

-3y³+10x³ - xy

Combining Like Terms with Dist. Property

100

2(4p² + 2p + 1) - 2p² - 4p - 5  =

6p² - 3

200

5(4q⁵ + 2q³ + q) - q⁵ - 2q³ + 3q =

19q⁵ + 8q³ + 8q

300

(-2n² - n³ - 3)(7) - - n³ + 2n² + 1 =

-12n² - 6n³ - 20

400

-6(20x⁵ + 12x³ - x) - - 15x - 4x³ + 3x⁵ =

-117x⁵ - 76x³ + 21x

500

(4y²⁴ + y²³ - 3x²⁰)(-2) - 3x¹² - y²⁴ - x²⁰ =

-9y²⁴ -2y²³ + 5x²⁰ - 3x¹²

Multiplication (Box Method)

100

(x + 2 ) (x + 1)

x²+ 3x + 2

200

(x + 3) (x + 5)

x² + 8x + 15

300

(2x + 2) (3x + 1)

6x² + 8x + 2

400

(y² + 3y + 2) (2y + 3)

2y³ + 9y² + 13y + 6

500

(- 4p² - 3p ) (- p - 1)

4p³ + 16p² +3p

Distributive Property?

100

(m + 1) - 8

m - 7

200

5(2q * 3) 

30q

300

(3y² - 2y )(2y)

6y³ - 4y²

400

4a(3a² + 6a + 1) 

12a³ + 24a² + 4a

500

7(xy³ + 2x )

7xy³ + 14x