Question

Using the algebraic identity (a + b) ^2 = a^ 2 + 2ab + b^2,
Find, 501^2​

Answer 1

$\huge\mathtt\pink{A}\mathtt\red{N}\mathtt\blue{S}\mathtt\green{W}\mathtt\purple{E}\mathtt\green{R}$

(501)² can be written as

(500+1)²

Now accoridng to identity

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

$\large \: \rightarrow(250000 + 1 + 1000)$

$\large \: \rightarrow251001$

verification

$501 \times 501 = 251001$

verified.

Answer 2

Answer:

Step-by-step explanation: