2024 December(H31) Math Question 3
Algebraic & Function Expressions
- Solve Algebraic Expressions
The operation ♢\diamondsuit♢ is defined as:
(a,b)♢(c,d)=ac+bdab−cd(a, b) \diamondsuit (c, d) = \frac{ac + bd}{ab - cd}(a,b)♢(c,d)=ab−cdac+bd
Substitute (a,b)=(4,3)(a, b) = (4, 3)(a,b)=(4,3) and (c,d)=(1,2)(c, d) = (1, 2)(c,d)=(1,2):
(4)(1)+(3)(2)(4)(3)−(1)(2)=4+612−2=1010=1\frac{(4)(1) + (3)(2)}{(4)(3) - (1)(2)} = \frac{4 + 6}{12 - 2} = \frac{10}{10} = 1(4)(3)−(1)(2)(4)(1)+(3)(2)=12−24+6=1010=1
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