Question

factorise using indenty
49a2+ 70 ab +25 62​

Answer 1

Step-by-step explanation:

Identity

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

$a^{2} = 49 {a}^{2} \\a = \sqrt{49 {a}^{2} } \\a = 7a$

${b}^{2} = 25 {b}^{2} \\b = \sqrt{25 {b}^{2} } \\b = 5b$

$2ab = 70ab \\2(7a \times 5b) = 70ab \\70ab = 70ab$

$(7a + 5b)^{2}$