Maths
Factorise: 64a^4 + 2401b^4 - 6256^2 - 1568a^2 b^2
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Answer:
Step-by-step explanation:64a³ - 27b³ - 144a²b + 108ab²
Here, using the identity -
(a - b)³ = a³ - b³ - 3a²b + 3ab²
⇒ 64a³ - 27b³ - 144a²b + 108ab² = (4a)³ - (3b)³ - 3(4a)²*(3b) + 3(4a)*(3b)²
⇒ (4a - 3b)³
⇒ (4a - 3b)*(4a - 3b)*(4a - 3b)
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