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Index Laws

100

x³ × x⁴

x⁷

200

y⁸ ÷ y³

y⁵

300

2a⁵ × 3a²

6a⁷

400

12x⁶ ÷ 4x²

3x⁴

500

3m⁴ × 2m³ ÷ m²

6m⁵

Expanding Single Brackets

100

2(x + 3)

2x + 6

200

3(x + 4)

3x + 12

300

4(2x + 1)

8x + 4

400

5(x + 2)

5x + 10

500

3(4x + 5)

12x + 15

Expanding Double Brackets

100

(x + 1)(x + 2)

x² + 3x + 2

200

(x + 2)(x + 3)

x² + 5x + 6

300

(x + 3)(x + 4)

x² + 7x + 12

400

(x + 1)(x + 5)

x² + 6x + 5

500

(x + 2)(x + 5)

x² + 7x + 10

Factorising into Single Brackets

100

2x + 6

2(x + 3)

200

3x + 12

3(x + 4)

300

5x + 10

 5(x + 2)

400

4x + 8

4(x + 2)  

500

6x + 9

3(2x + 3)