Evaluate the following product without multip | vedclass

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(C) We can express the product as: $95 	imes 96 = (100 - 5) 	imes (100 - 4)$.Using the algebraic identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,whe

Vedclass · Accepted Answer

$9120$

Vedclass · Answer

(C) We can express the product as: $95 	imes 96 = (100 - 5) 	imes (100 - 4)$.Using the algebraic identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,where $x = 100$,$a = -5$,and $b = -4$:$95 	imes 96 = (100)^2 + [(-5) + (-4)] 	imes 100 + [(-5) 	imes (-4)]$.$= 10000 + (-9) 	imes 100 + 20$.$= 10000 - 900 + 20$.$= 9100 + 20 = 9120$.

Evaluate the following product without multiplying directly: $95 \times 96$

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