Question

Pls help help Algebra1

Answer 1

2nd and 5th options

`(4x^2-9y^2)(4x^2+9y^2)`

`(4x^2+9y^2)(2x+3y)(2x-3y)`

Explanation:

Notice you can factorize the first term using
`a^2-b^2=(a+b)(a-b)`
so the factors are
`a=4x^2 \\` and
`b=9y^2` since 4^2=16 and 9^2=81
so the first factor form is

`(4x^2-9y^2)(4x^2+9y^2)`
Then you can factor again the first polynomial (the second one cant be factor using real coefficient since terms are strictly positive)
again factors are
`a=2x\\` and
`b=3y\\` so the second factor form is:

`(4x^2+9y^2)(2x+3y)(2x-3y)`