Factor.​ 9x^2+42xy+49y2​ Enter your answer in the box.

Answer:Thus, in factored form [tex]9x^2+42xy+49y^2[/tex] is written as [tex](3x+7y)(3x+7y)[/tex]Step-by-step explanation:Consider the given equation,  [tex]9x^2+42xy+49y^2[/tex]We need to factorize the given equation,Factorization is a method of writing an expression in factor terms such that when we take the product we get back the original expression.Using identity [tex](a+b)^2=a^2+2ab+b^2[/tex] for the given expression ,Given expression can be written as ,[tex]9x^2+42xy+49y^2=(3x)^2+2 \cdot 3x\cdot 7y+(7y)^2[/tex]On comparing, we get a = 3x and b = 7y Thus, [tex]9x^2+42xy+49y^2=(3x+7y)^2[/tex]Thus, in factored form [tex]9x^2+42xy+49y^2[/tex] is written as [tex](3x+7y)(3x+7y)[/tex]