Question

evaluate 149^2-148^2​

Answer 1

Answer:

297

Step-by-step explanation:

(a+b).(a-b)=a²-b²

so, 149²-148² can be written as

=(149+148).(149-148)

=297x1

=297

the correct answer is 297

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Answer 2

Answer:

$\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

☆ Given -

• 149^2 - 148^2

☆ To find -

• Evaluation of this

☆ Solution -

149^2 - 148^2

(150- 1)^2 - ( 150- 2)^2

Using identity ( a- b)^2 = a^2 + b^2 - 2ab

[150^2 +1^2 - 2( 150) (1) ] - [ 150^2 + 2^2- 2(150)(2)]

[ 22500 + 1 - 300] - [ 22500+ 4 - 600]

22500 + 1 - 300 - 22500 - 4 + 600

22500- 22500 + 1 - 4 - 300 + 600

- 3 + 300

[ 297]

ALTERNATIVE METHOD

(149^2 )- ( 148^2)

a^2 - b^2 = (a+ b)( a-b)

(149 - 148 )(149 + 148 )

( 1) ( 297)

297

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