## Thinking Mathematically (6th Edition)

$(11-7)^2 = 121 - 154 + 49$
$(6-2)^2 = 36 - 24 + 4$ $(8-5)^2 = 64 - 80 +25$ $(11-7)^2 = ?$ We can notice that $36 = 6^2$ $24=6*2*2$ $4 = 2^2$ and also $64=8^2$ $80=8*5*2$ $25=5^2$ From this we use inductive reasoning to write a compatible expression: $(11-7)^2 = 121 - 154 + 49$