Grade10FMPCh3ExpandingBracketsCompletethefollowingcalculationsusingthesamemethodasthisexample:

2×34 = 2 30 + 4 = 2×30 + 2×4 = 60 + 8 = 68Usebrackets,Expand,Multiply,AddCalculations Working Answer

5×34

7×23

8×16

4×56

9×39

3×23

5×65

7×17

9×99

2×347 = 2 300 + 40 + 7 = 2×300 + 2×40 + 2×7 = 600 + 80 + 14 = 694

5×137

7×123

Withsomethought,themethodcanbeextendedtocalculate:

27×34

DistributiveLaw(fromtheEncyclopediaBritannica)

Completethefollowing,usingthesamemethodasthisexample:

6 𝑥 + 5 = 6𝑥 + 6×5 = 6𝑥 + 30

Calculations Expansion

5(𝑥 + 3)

5(𝑥 − 3)

𝑥(𝑥 + 7)

−(𝑥 − 5)

3𝑥(2𝑥 − 5𝑦)

Completethefollowing,usingthesamemethodasthisexample:

6𝑥 + 30hastwoterms,6𝑥and30.TheHCFofthesetermsis6.

6𝑥 + 30 = 6(𝑥 + 5)

Calculations HCF?

7𝑥 − 21

15𝑥 + 20

12𝑥 + 16𝑦

4𝑥! + 12𝑥

4𝑥𝑦𝑧 + 6𝑥𝑦