Question

Evaluate the following with out actual multiplication 501×501

Answer 1

Refer to the attachment

Answer 2

Answer:

$\sf ⇨501 \times 501$

⇰ɓყ µรเɳɠ ƭɦε เ∂εɳƭเƭყ

[ a² + b² + 2ab = ( a + b )² ]

$\sf ⇒501 \times 501 = (501 {)}^{2}$

$\sf ⇒(500 {)}^{2} + (1 {)}^{2} + (2 \times ⇒500 \times 1)$

$\sf ⇒250000 + 1 + 1000$

$\sf ➺251001$