Question

Find the value of each of the following, using the column method.
$(23{)}^2$
$(52{)}^2$

• A. 549, 2724
• B. 549, 2704
• C. 529, 2724
• D. 529, 2704

Answer 1

The correct option is D 529, 2704

$(23{)}^2$
$a=2,b=3$

$i$	$ii$	$iii$
$a^2$	$2ab$	$b^2$
$4$ $1$ $\underset{–}{5}$	$12$ $+0$ $1\underset{–}{2}$	$\underset{–}{9}$

$\therefore (23{)}^2=529$
$(52{)}^2$
$a=5,b=2$

$i$	$ii$	$iii$
$a^2$	$2ab$	$b^2$
$25$ $+2$ $\underset{–}{27}$	$20$ $+0$ $2\underset{–}{0}$	$\underset{–}{4}$

$\therefore (52{)}^2=2704$