[tex]4x^2-49[/tex]
Use the Difference of Two Squares Formula, [tex]x^2-y^2=(x+y)(x-y)[/tex]
If x² = 4x², then x = √4x², x = 2x
If y² = 49, then y = √49, y = 7
We know both x and y, straight to formula.
[tex]x^2-y^2=(x+y)(x-y)\\4x^2-49=(2x+7)(2x-7)[/tex]
Therefore, the factored form of 4x²-49 is (2x+7)(2x-7)