Evaluate the following product without multip | vedclass

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Question

(B) To evaluate $88 	imes 86$ without direct multiplication,we can express the numbers as $(90 - 2) 	imes (90 - 4)$.Using the algebraic identity $(x

Vedclass · Accepted Answer

$7568$

Vedclass · Answer

(B) To evaluate $88 	imes 86$ without direct multiplication,we can express the numbers as $(90 - 2) 	imes (90 - 4)$.Using the algebraic identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,where $x = 90$,$a = -2$,and $b = -4$:$(90 - 2)(90 - 4) = 90^2 + (-2 - 4) 	imes 90 + (-2 	imes -4)$$= 8100 + (-6 	imes 90) + 8$$= 8100 - 540 + 8$$= 7560 + 8$$= 7568$.

Evaluate the following product without multiplying directly: $88 \times 86$.

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