Question

factorize 16+56x+49x^2
$16 + 56x + 49x {}^{2}$
​

Answer 1

$Given \: expression : 16 + 56x + 49x^{2} \\= 4^{2} + 2 \times 4 \times (7x) + (7x)^{2} \\= ( 4 + 7x )^{2}$

/* By Algebraic Identity */

$\boxed { \pink { a^{2} + 2ab + b^{2} = ( a + b )^{2} }}$

$= ( 4 + 7x )( 4 + 7x )$

Therefore.,

$\red { Factors \: of \: 16 + 56x + 49x^{2}} \\\green { = ( 4 + 7x )( 4 + 7x ) }$

•••♪