1. Simplifying Expressions – Multiplying & Adding – Sumproduct
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3. + × Sum Product 2𝑎 4 8𝑎 2𝑎+4 EXAMPLE SUM PRODUCT 1 3𝑐 A) 4𝑔 5 B) 3 3ℎ6
18𝑏 D) −3
4𝑑−3 E)
5−3𝑐 F) 3𝑒
3𝑒2 G) 𝑡 6𝑡 H)
6𝑤2 5𝑤 I)
15ℎ2 8ℎ J)
−2𝑓 2𝑓 K) 7𝑑 3𝑑 L)
−2𝑐
−6𝑐 M) 2𝑏 𝑎 N) 3𝑡
4𝑘+3𝑡 O) 3𝑥
4𝑥𝑦 P)
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied

4. + + × × + × + × + × + × + × Sum Product SUM PRODUCT 1
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied
Sum
Product 2𝑎 4 8𝑎
2𝑎+4 × +
EXAMPLE 3𝑐 4
12𝑐
3𝑐+4 × + A) 4𝑔 5
20𝑔
4𝑔+5 × + B) 3 3ℎ 9ℎ
3ℎ+3 C) 6 3𝑏
18𝑏
3𝑏+6 D) 4𝑑 −3
−12𝑑
4𝑑−3 × + E)
−3𝑐 5
−15𝑐
5−3𝑐 F) 3𝑒 𝑒
3𝑒2 4𝑒 G) 𝑡 5𝑡
5𝑡2 6𝑡 × + H) 3𝑤 2𝑤
6𝑤2 5𝑤 I) 5ℎ 3ℎ
15ℎ2 8ℎ J) 4𝑓
−2𝑓
−8𝑓2 2𝑓 × + K)
−4𝑑 7𝑑
−28𝑑2 3𝑑 L)
−2𝑐
−6𝑐
12𝑐
−8𝑐 M) 2𝑏 𝑎
2𝑎𝑏
𝑎+2𝑏 × + N) 3𝑡 4𝑘
12𝑘𝑡
4𝑘+3𝑡 O) 3𝑥
4𝑥𝑦
12𝑥2𝑦
3𝑥+4𝑥𝑦 P)

5. × + × + × + × + × + × + × + × + × + Sum Product SUM PRODUCT 2
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied
Sum
Product 2𝑎 3𝑑
6𝑎𝑑
2𝑎+3𝑑 × +
EXAMPLE 3𝑐 5𝑡
15𝑐𝑡
3𝑐+5𝑡 × + A) 3𝑔 2𝑟
6𝑔𝑟
3𝑔+2𝑟 × + B) 4𝑓
−3ℎ
−12𝑓ℎ
4𝑓−3ℎ C)
−5𝑛 3𝑒
−15𝑒𝑛
3𝑒−5𝑛 D)
−2𝑑
−3𝑓
6𝑑𝑓
−2𝑑−3𝑓 × + E)
2𝑎𝑏 3𝑎
6𝑎2𝑏
3𝑎+2𝑎𝑏 F) 2𝑑
3𝑑𝑡
6𝑑2𝑡
2𝑑+3𝑑𝑡 G)
3𝑒𝑓
4𝑒𝑓
12𝑒2𝑓2
7𝑒𝑓 × + H)
3𝑞𝑘 2𝑘
6𝑘2𝑞
2𝑘+3𝑞𝑘 I)
3𝑥2
2𝑥2𝑦
6𝑥4𝑦
3𝑥2+2𝑥2𝑦 J) 4
3𝑓+2
12𝑓+8
3𝑓+6 × + K)
2𝑒−4 5
10𝑒−20
2𝑒+1 × + L) 3𝑒
3𝑒+4
9𝑒2+12𝑒
6𝑒+4 × + M)
4𝑑+5
−2𝑑
−10𝑑−8𝑑2
2𝑑+5 × + N) 3𝑐
5−2𝑐
15𝑐−6𝑐2
𝑐+5 O)
4𝑦−3
2𝑥𝑦
8𝑥𝑦2−6𝑥𝑦
2𝑥𝑦+4𝑦−3 P)

6. × + × + Sum Product Sum Product 2𝑎 4 8𝑎 2𝑎+4 EXAMPLE SUM PRODUCT 1 3𝑐4𝑔 5 B) 3 3ℎ C) 6
18𝑏 D) −3
4𝑑−3 E)
5−3𝑐 F) 3𝑒
3𝑒2 G) 𝑡 6𝑡 H)
6𝑤2 5𝑤 I)
15ℎ2 8ℎ J)
−2𝑓 2𝑓 K) 7𝑑 3𝑑 L)
−2𝑐
−6𝑐 M) 2𝑏 𝑎 N) 3𝑡
4𝑘+3𝑡 O) 3𝑥
4𝑥𝑦 P)
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied
Sum
Product 2𝑎 4 8𝑎
2𝑎+4 × +
EXAMPLE
SUM
PRODUCT 1 3𝑐 A) 4𝑔 5 B) 3 3ℎ C) 6
18𝑏 D) −3
4𝑑−3 E)
5−3𝑐 F) 3𝑒
3𝑒2 G) 𝑡 6𝑡 H)
6𝑤2 5𝑤 I)
15ℎ2 8ℎ J)
−2𝑓 2𝑓 K) 7𝑑 3𝑑 L)
−2𝑐
−6𝑐 M) 2𝑏 𝑎 N) 3𝑡
4𝑘+3𝑡 O) 3𝑥
4𝑥𝑦 P)
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied

9. × + × + Sum Product Sum Product 2𝑎 3𝑑 6𝑎𝑑 2𝑎+3𝑑 EXAMPLE SUM PRODUCT 2
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied 3𝑐 5𝑡 A) 3𝑔 2𝑟 B) 4𝑓
−3ℎ C)
−5𝑛
3𝑒−5𝑛 D)
−3𝑓
−2𝑑−3𝑓 E)
2𝑎𝑏 3𝑎 F) 2𝑑
2𝑑+3𝑑𝑡 G)
3𝑒𝑓
7𝑒𝑓 H)
3𝑞𝑘 2𝑘 I)
3𝑥2
2𝑥2𝑦 J)
3𝑓+2
12𝑓+8 K)
2𝑒−4
2𝑒+1 L)
4𝑑+5
−2𝑑 N)
𝑐+5 O)
4𝑦−3
2𝑥𝑦 P)
3𝑒+4
9𝑒2+12𝑒 M)
Sum
Product 2𝑎 3𝑑
6𝑎𝑑
2𝑎+3𝑑 × +
EXAMPLE
SUM
PRODUCT 2
Top Box = Middle boxes added.
Bottom Box = Middle boxes multiplied 3𝑐 5𝑡 A) 3𝑔 2𝑟 B) 4𝑓
−3ℎ C)
−5𝑛
3𝑒−5𝑛 D)
−3𝑓
−2𝑑−3𝑓 E)
2𝑎𝑏 3𝑎 F) 2𝑑
2𝑑+3𝑑𝑡 G)
3𝑒𝑓
7𝑒𝑓 H)
3𝑞𝑘 2𝑘 I)
3𝑥2
2𝑥2𝑦 J)
3𝑓+2
12𝑓+8 K)
2𝑒−4
2𝑒+1 L)
4𝑑+5
−2𝑑 N)
𝑐+5 O)
4𝑦−3
2𝑥𝑦 P)
3𝑒+4
9𝑒2+12𝑒 M)

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