Question

Factor completely, then place the answer in the proper location on the grid. 49x 2 + 42xy + 9y 2

Answer 1

(7x + 3y)(7x + 3y) or we could write it as (7x + 3y)^2.

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 2

`(7x+3y)(7x+3y)`

Explanation:

We are given that an expression

`49x^2+42xy+9y^2`

We have to find the factor of given expression

`(7x)^2+2* (7x)* 3+(3y)^2`

Identity:
`(a+b)^2=a^2+2ab+b^2`

Using the identity,then we get

`(7x+3y)^2`

`(7x+3y)(7x+3y)`

Hence, the factor of given expression is given by

`(7x+3y)(7x+3y)`