solve (a-b) raised to the power 4
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(a - b)⁴ = a⁴- 4a³b + 6a²b² - 4ab³ + b⁴
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1
(a-b)^4
=(a-b)^2×(a-b)^2
=(a^2+b^2-2ab)^2
=a^4+b^4+(2ab)^2+2×a^2×b^2-2×b^2×2ab-2×a^2×2ab
=a^4+b^4+4×a^2×b^2+2×a^2×b^2-4a×b^3-4b×a^3
=a^4+b^4+6a^2b^2-4ab(b^2+a^2)
=(a-b)^2×(a-b)^2
=(a^2+b^2-2ab)^2
=a^4+b^4+(2ab)^2+2×a^2×b^2-2×b^2×2ab-2×a^2×2ab
=a^4+b^4+4×a^2×b^2+2×a^2×b^2-4a×b^3-4b×a^3
=a^4+b^4+6a^2b^2-4ab(b^2+a^2)
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