Number Theory Grade 9

Power, Standard Form

100

0.00000013

1.3·10^-7

200

(x³·x⁴)⁵:(x²·x)³

x²⁶

300

(3.2·10¹⁷⁾:(0.4·10⁵)

8·10¹²

400

[(a³b)⁴·b³]²:[ (a²b³)³]

a¹⁸b⁵

500

(ab²)^-3⋅(b⋅a^-5)^-4:(a^-1⋅b³)

a¹⁸⋅b^-13

Polynomials

100

3x²+4x+5-8x²-x+9

-5x²+3x+14

200

-6x³+4x²+5x-12+8x³-7x²-x+11

2x³-3x²+4x-1

300

(x-3)(x+2)

x²-x-6

400

(4x-3)(2x²-3x+1)

8x³-18x²+13x-3

500

(x-2y)(3x²+5xy+4y²)

3x³-x²y-6xy²-8y³

Notable Products

100

(x+2)²

x²+4x+4

200

(2x-3)²

4x²-12x+9

300

(0.5x-0.2)(0.5x+0.2)

0.25x²-0.04

400

(2/3⋅a+1/5⋅b)²

4/9a²+4/15ab+1/25b²

500

(4/11a²-3/7b³)²

16/121a⁴-24/77a²b³+9/49b⁶