Given that 𝑝=3, 𝑞=−1 and 𝑟=11, choose the two answer options containing expressions of equal value.A2𝑝𝑞𝑟B4𝑝+𝑟𝑞C𝑟+2𝑞D𝑝𝑟𝑞E3𝑝
Question
Given that , and , choose the two answer options containing expressions of equal value.
A.
B.
C.
D.
E.
Solution
Let's calculate each expression one by one:
A) 2𝑝𝑞𝑟 = 23(-1)11 = -66 B) 4𝑝+𝑟𝑞 = 43 + 11*(-1) = 12 - 11 = 1 C) 𝑟+2𝑞 = 11 + 2*(-1) = 11 - 2 = 9 D) 𝑝𝑟𝑞 = 311(-1) = -33 E) 3𝑝 = 3*3 = 9
So, the two expressions of equal value are C) 𝑟+2𝑞 and E) 3𝑝, both equal to 9.
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