2026 YTSS P1 Q7

2026 YTSS P1 Q7

Secondary 4
3 marks

Explain why \(3^{x+2}+5\left(\dfrac13\right)^{-x}-4\sqrt{9^x}\) is divisible by 10 for all integer values of \(x\).[3]

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Answer:\(10\cdot3^x\); divisible by 10 for non-negative integers \(x\). The printed all-integer claim is false.

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