Question

9(x+4)square =49 ,factors of the term

Answer 1

$9 {(x + 4)}^{2} = 49 \\ 9 {(x + 4) }^{2} - 49 = 0 \\ { {3}^{2} (x + 4)}^{2} - {7}^{2} = 0 \\ \\ apply \: formula \\ {a}^{2} - {b}^{2} = (a + b)( a - b) \\ \\ {3}^{2} {(x + 4)}^{2} - {7}^{2} = (3(x + 4) + 7)(3(x + 4) - 7) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 19)(3x + 5)$