Question

49q
$49q {}^{2} + 42qr + 9r {}^{2}$
​

Answer 1

ANSWER:

$= {(7q + 3r)}^{2}$

EXPLANATION:

$49 {q}^{2} + 42qr + 9 {r}^{2}$

$= (7q)^{2} + 2(7q)(3r) + {(3r)}^{2}$

$= {(7q + 3r)}^{2}$

OR

$49q^{2} + 42qr + 9 {r}^{2}$

$= 49 {q}^{2} + 21qr + 21qr + 9 {r}^{2}$

$= 7q(7q + 3r) + 3r(7q + 3r)$

$= (7q + 3r)(7q + 3r)$

$= {(7q + 3r)}^{2}$

I hope it helps you. Please mark me as BRAINLIEST if you like.