Question

Subtract the square of 41 from the square of 42 without actually calculating the squares. ​

Answer 1

Answer:

Given,

We need to Subtract the square of 41 from the square of 42 without actually calculating the squares.

Using the formula

${x}^{2} - {y}^{2} = (x + y)(x - y)$

We get....

$= > {(42)}^{2} - {(41)}^{2} \\ = > (42 + 41)(42 - 41) \\ = > 83 \times 1 \\ = > 83.$

HOPE THIS HELPS YOU!!

Answer 2

It's simply by using algebraic formula(a²-b²)=(a+b)(a-b)

So,(42^2-41^2)=(42+41)(42-41)

=83*1

So the answer is 1