Can someone simplify the expression?

➷ 2^3 = 8

2^2 = 4

2(8 - 4) = 8

The answer is 8

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The only incorrect statement in the Nick's proof is : He assumes that AP = PB because P is the vertex of the equilateral triangle.

Step-by-step explanation:

To show : ΔAPD ≅ ΔBPC

Given : ΔDPC is an equilateral triangle.

Then, DP = CP (Same side of the equilateral triangle)

 ∠ ADP = ∠ ADC - ∠ PDC = 90° - 60° = 30°

Similarly,

∠ BCP = ∠ BCD - ∠ PCD = 90° - 60° = 30°

∴ ∠ ADP = ∠ BCP

and AD = BC (Same side of square)

∴ Δ APD ≅ Δ BPC ( SAS proved)

So, the only incorrect statement in the Nick's proof is : He assumes that AP = PB because P is the vertex of the equilateral triangle.

Because, if P is vertex of equilateral triangle then it doesn't implies that AP is equal to PB