Evaluate 205 times 195. | vedclass

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Question

(B) To evaluate $205 	imes 195$,we can use the algebraic identity $(a + b)(a - b) = a^2 - b^2$.We can write $205$ as $(200 + 5)$ and $195$ as $(200 -

Vedclass · Accepted Answer

$39975$

Vedclass · Answer

(B) To evaluate $205 	imes 195$,we can use the algebraic identity $(a + b)(a - b) = a^2 - b^2$.We can write $205$ as $(200 + 5)$ and $195$ as $(200 - 5)$.So,$205 	imes 195 = (200 + 5)(200 - 5)$.Applying the identity,we get $200^2 - 5^2$.$200^2 = 40000$ and $5^2 = 25$.Therefore,$40000 - 25 = 39975$.

Evaluate $205 \times 195$.

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