Haryana Police Constable Model Paper 3

Given:
(343 × 343 + 326 × 326 – 2 × 343 × 326)
Concept used:
${\left(\mathrm{a}-\mathrm{b}\right)}^2={\mathrm{a}}^2+{\mathrm{b}}^2-2\times \mathrm{a}\times \mathrm{b}$
Calculation:
$\left(343\times 343+326\times 326\mathit{–}2\times 343\times 326\right)$
The given question is of the form: ${\mathrm{a}}^2+{\mathrm{b}}^2-2\times \mathrm{a}\times \mathrm{b}$
Here, a = 343 and b = 326
The value of the given expression = ${\left(\mathrm{a}-\mathrm{b}\right)}^2$
⇒ ${\left(\mathrm{a}-\mathrm{b}\right)}^2$ = ${\left(343-326\right)}^2={\left(17\right)}^2$
⇒ ${\left(\mathrm{a}-\mathrm{b}\right)}^2$ = 289
∴ The value of the expression is 289.