Question

Evaluate(i) 1003^2 - 997^2​

Answer 1

$\color{skyblue}{\bigstar \large\underline{\boxed{\bf\pink{Question:-}}}}$

$\tt \red{Evaluate \: 1003^2 - 997^2}$

$\color{skyblue}{\bigstar \large\underline{\boxed{\bf\pink{Answer:-}}}}$

We know that

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

Given :-

• $\red{ \dag} \orange{ \boxed{ \sf{A = 1003^2}}}$

• $\red \dag\orange{ \boxed{ \sf{B = 997^2}}}$

So ,

$\sf \blue{ \mapsto1003^2 - 997^2}$

$\sf \green{ \mapsto1003 + 997 = 2000}$

$\sf \purple{ \mapsto(1003 - 997) =6 }$

$\sf \color{skyblue} \mapsto \:6 \times 2000$

$\sf \color{gold} \mapsto \: 12000$

$\large \dag\pink{ \underline{ \boxed{ \bf{ \therefore \: The \: answer = 12000}}}}$

Answer 2

Your answer is above ..