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1) (k+4) 3=k 3 +4 3 +3.k.4(k+4)⇒(k+4)
3=k3 +12k
2 +48k+64
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2) 7x + 8y)3 =(7x)3 + [ 3 ×(7x)2 ×(8y)] + [ 3 ×(7x)×(8y)2 ] + (8y)3
{ ∵ (a + b)3 = a3 + 3a2b + 3ab2 + b3 }
= 343x3 +(3 × 49 × 8)x2y +(3 × 7 × 64)xy2 + 512y3
=343x3 + 1176x2y + 1344xy2 + 512y3
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