find the value of (106)^3-(94)^3 ……
GovindKrishnan:
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Solution:-
(106)³ - (94)³
(100+6)³ - (90 + 4)³
(100 + 6)³ = (100)³ + 3 × (100)² × 6 + 3 × 100 × (6²) + (6)³ [By using the identity (x+y)³ = x³+3x²y+3xy²+y³]
= 1191016
(90 + 4)³ = (90)³ + 3 × (90)² × 4 + 3 × 90 × (4)² + (4)³ [By using the same identity] = 830584
1191016 - 830584
= 360432 Answer.
(106)³ - (94)³
(100+6)³ - (90 + 4)³
(100 + 6)³ = (100)³ + 3 × (100)² × 6 + 3 × 100 × (6²) + (6)³ [By using the identity (x+y)³ = x³+3x²y+3xy²+y³]
= 1191016
(90 + 4)³ = (90)³ + 3 × (90)² × 4 + 3 × 90 × (4)² + (4)³ [By using the same identity] = 830584
1191016 - 830584
= 360432 Answer.
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