xaviernewton10 xaviernewton10
  • 11-06-2020
  • Mathematics
contestada

Factor 4x2 - 16 using difference of two squares.

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tatiklisek
tatiklisek tatiklisek
  • 11-06-2020

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

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00001050
00001050 00001050
  • 11-06-2020
So, 4x^2 − 16 = (2x + 4)(2x − 4).

Explanation:

4x2^ − 16 is of the form a^2 − b^2 (where a = 2x, b = 4), and as per the identity:

a^2 − b^2 = (a + b)(a − b)

So, 4x^2 − 16 = (2x + 4)(2x − 4)
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