Question

the value of 541^2-540^2 is​

Answer 1

Answer:

$= 1081$

i hope it will help u

Answer 2

ANSWER:

541² - 540² = 1081

GIVEN:

541² - 540²

TO FIND:

The value of 541² - 540²

FORMULA:

(A + B)² = A² + 2AB + B²

EXPLANATION:

541² - 540² = (540 + 1)² - 540²

541² - 540² = 540² + 1² + 2(540)(1) - 540²

541² - 540² = 1 + 1080 + 540² - 540²

541² - 540² = 1 + 1080

541² - 540² = 1081

METHOD 2 (OR) VERIFICATION:

WE ALSO HAVE A FORMULA THAT IS,

(A - B)² = A² - 2AB + B²

541² - 540² = (541)² - (541 - 1)²

541² - 540² = (541)² - (541² + 1² - 2(541)(1))

541² - 540² = (541)² - 541² - 1² + 1082

541² - 540² = 1082 - 1

541² - 540² = 1081

IN BOTH THE WAYS WE GET THE SAME ANSWER ie. 1081.