Question

use expansion formula to find the value of (202)²​

Answer 1

Step-by-step explanation:

by using ( a+b)² =a2+b²+2ab

Answer 2

SOLUTION

TO DETERMINE

The value of (202)² using expansion formula

CONCEPT TO BE IMPLEMENTED

We are aware of the formula that

$\sf{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }$

EVALUATION

$\sf{ {(202)}^{2} }$

$\sf{ = {(200 + 2)}^{2} }$

$\sf{ = {(200)}^{2} + 2 \times 200 \times 2 + {(2)}^{2} }$

$\sf{ = 40000 + 800 + 4 }$

$\sf{ = 40804}$

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