Question

Factor.
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9x^2+42xy+49y2
​
 
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Answer 1

The answer is (3x - 7y) (3x + 7y)

Explanation:

I just did this question is a quiz and this was the answer :)

Answer 2

Thus, in factored form
`9x^2+42xy+49y^2` is written as
`(3x+7y)(3x+7y)`

Explanation:

Consider the given equation,
`9x^2+42xy+49y^2`

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
`(a+b)^2=a^2+2ab+b^2` for the given expression ,

Given expression can be written as ,

`9x^2+42xy+49y^2=(3x)^2+2 \cdot 3x\cdot 7y+(7y)^2`

On comparing, we get a = 3x and b = 7y

Thus,
`9x^2+42xy+49y^2=(3x+7y)^2`

Thus, in factored form
`9x^2+42xy+49y^2` is written as
`(3x+7y)(3x+7y)`