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Tresset [83]
3 years ago
12

Factor completely: 4x²-49=

Mathematics
1 answer:
natima [27]3 years ago
6 0

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)

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