Factorise (a+b)^4-(a-b)^4
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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
We know, (a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴
Also, (a-b)⁴ = a⁴-4a³b+6a²b²-4ab³+b⁴
So, (a+b)⁴-(a-b)⁴
= a⁴+4a³b+6a²b²+4ab³+b⁴-a⁴+4a³b-6a²b+4ab³-b⁴
= 8 a³b + 8 ab³
= 8ab(a²+b²) [Answer]
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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We know, (a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴
Also, (a-b)⁴ = a⁴-4a³b+6a²b²-4ab³+b⁴
So, (a+b)⁴-(a-b)⁴
= a⁴+4a³b+6a²b²+4ab³+b⁴-a⁴+4a³b-6a²b+4ab³-b⁴
= 8 a³b + 8 ab³
= 8ab(a²+b²) [Answer]
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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