Question

Factor completely:
4x²-49=

Answer 1

`4x^2-49`

Use the Difference of Two Squares Formula,
`x^2-y^2=(x+y)(x-y)`

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.

`x^2-y^2=(x+y)(x-y)\\4x^2-49=(2x+7)(2x-7)`

Therefore, the factored form of 4x²-49 is (2x+7)(2x-7)