There are disagreements today over how the Indo-European language diffused from west and south Asia into Europe. Two naturally opposing theories attempt to explain this diffusion. Explain and compare the Kurgan warrior theory with Renfrew's theory in terms of geographic hearth, methods, and reasons for using the language.

They state the languages have been formed by war and capturing of lands while other focuses on peaceful spreading of language by agriculture, population growth.

Explanation:

Renfrew's theory is called the Anatolian hypothesis and is based on the sedentary farmer theory and was developed by a British archeologist who stated the dispersal of Indo-European language. The kuren hypothesis or the steppe theory widely accepted the Indo European homeland and spreading of languages spreading through Europe, and many parts of Asia. The hypothesis speaks of the Proto Indo European during the neolithic era that spread and expanded towards Arabia around 5000 BC.

Answer were lower;

5×^2+20-15 or -(5x^2-20+15)