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]
Answer:
The answer is (3x - 7y) (3x + 7y)
Step-by-step explanation:
I just did this question is a quiz and this was the answer :)
