Question

$49a^{2} + 70ab + 25b ^{2}$
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Answer 1

Answer:

49a²+70ab+25b²

⇒(7a)²+2.7a.5b+(5b)²

⇒ (7a+5b)²

⇒ (7a+5b)(7a+5b) [factors]

Answer 2

Answer:

$49 {a}^{2} + 70ab + 25 {b}^{2} \\ = {7}^{2} {a}^{2} + 70ab + {5 {b}^{2} }^{2} \\ = {(7a)}^{2} + 70ab + {(5b)}^{2} \\ = {(7a)}^{2} + {(5b)}^{2} + 2(7a)(5b) \\ \\ ▶ \: \: Using \: \: Formula : \\ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ = {(7a + 5b)}^{2} \\ = (7a + 5b)(7a + 5b)$