Answer:
(7x + 3y)(7x + 3y) or we could write it as (7x + 3y)^2.
Step-by-step explanation:
49x 2 + 42xy + 9y 2
The square root of 49xy^2 = 7x and the square root of 9y^2 = 3y.
Now 7x *3y = 21xy and 2 * 21xy = 42xy so the factors are:
(7x + 3y)(7x + 3y).
49x 2 + 42xy + 9y 2 is a perfect square trinomial.
Answer:
[tex](7x+3y)(7x+3y)[/tex]
Step-by-step explanation:
We are given that an expression
[tex]49x^2+42xy+9y^2[/tex]
We have to find the factor of given expression
[tex](7x)^2+2\times (7x)\times 3+(3y)^2[/tex]
Identity:[tex](a+b)^2=a^2+2ab+b^2[/tex]
Using the identity,then we get
[tex](7x+3y)^2[/tex]
[tex](7x+3y)(7x+3y)[/tex]
Hence, the factor of given expression is given by
[tex](7x+3y)(7x+3y)[/tex]
