Question

Factorize: $a^2-14a+49$

• A. $(a-7)(a+7)$
• B. $(a+7{)}^2$
• C. $(a-7{)}^2$
• D. $(a-49)(a+7)$

Answer 1

The correct option is C $(a-7{)}^2$

$\Rightarrow a^2-14a+49$
$\Rightarrow a^2-7a-7a+49$
$\Rightarrow a(a-7)-7(a-7)$
$\Rightarrow (a-7)(a-7)$
$\Rightarrow (a-7{)}^2$