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Looking At Nature Stock Photos, Images and Backgrounds for Free Download
Looking At Nature Stock Photos, Images and Backgrounds for Free Download
Looking At Nature Stock Photos, Images and Backgrounds for Free Download
Looking At Nature Stock Photos, Images and Backgrounds for Free Download
Looking At Nature Stock Photos, Images and Backgrounds for Free Download

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📰 Solution: Compute $ h(3) = 9 - 12 + m = -3 + m $ and $ k(1) = 1 - 4 + 2m = -3 + 2m $. Set equal: $ -3 + m = -3 + 2m $. Simplify: $ 0 = m $, so $ m = \boxed{0} $. 📰 Question: If $ a + b = 7 $ and $ a^2 + b^2 = 35 $, find $ a^3 + b^3 $. 📰 Solution: Use identity $ a^3 + b^3 = (a + b)^3 - 3ab(a + b) $. First find $ ab $: $ (a + b)^2 = a^2 + 2ab + b^2 \Rightarrow 49 = 35 + 2ab \Rightarrow ab = 7 $. Then $ a^3 + b^3 = 343 - 3 \cdot 7 \cdot 7 = 343 - 147 = \boxed{196} $.