evaluate 95 X 96 without directly multiplying (use identites) 5marks question
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(x+a)(x+b) = x^2 + x(a+b) + ab
(100-5)(100-4)
(100^2) + 100(-4-5) + (-5×-4)
10000 - 900 + 20
912
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Answered by
0
95 × 96 = (100 - 5) × (100 - 4)
[Identity used - (x + a) (x + b) = x² + x (a + b) + ab]
= (100)² + 100 ( -5 + -4) + (-5 × -4)
= 10000 + 100 (-9) + 20
= 10000 + (-900) + 20
= 9120
Therefore, 95 × 96 = 9120
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