Question

Express the given expression $(x+98)(x+102)$ as difference of two squares

Answer 1

$(x+98)(x+102)$

$=\{(x+100)-2\}\{(x+100)+2\}$

$\Rightarrow$ using $(a-b)(a+b)=a^2-b^2$

$={(x+100)}^2-2^2$

Hence, the answer is ${(x+100)}^2-2^2.$