Math, asked by amipatel8342, 1 year ago

68²-32²=100×
121=61²-
51×41=2000+50+40+

Answers

Answered by pulakmath007
3

SOLUTION

TO FILL IN THE BLANK

1. 68²-32²=100× ___

2. 121=61²- ___

3. 51×41=2000+50+40+ __

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

a² - b² = ( a + b ) ( a - b )

EVALUATION

1. 68²-32²

= ( 68 + 32 ) × ( 68 - 32 )

= 100 × 36

2. 121

= 121 × 1

= ( 61 + 60 ) × ( 61 - 60 )

= 61² - 60²

3. 51 × 41

= ( 50 +1 ) × ( 40 + 1)

= 50× ( 40 + 1) + 1 × ( 40 + 1)

= 2000 + 50 + 40 + 1

FINAL ANSWER

1. 68²-32²=100× 36

2. 121=61² - 60²

3. 51×41=2000+50+40+ 1

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