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Use the formula a2 – b2 = (a + b)(a – b) to factor completely.

What are the factors of 36x8 – 49?

(9x4 – 1)(4x2 + 49)
(36x4 – 7)(x2 + 7)
(6x4 – 7)(6x4 + 7)
(6x8 – 7)(6x + 7)

Respuesta :

Answer:

(6x4 – 7)(6x4 + 7)

Step-by-step explanation:

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Eduard22sly

When we factorise the expression 36x⁸ – 49 completely using a² – b² = (a + b)(a – b), the result obtained is (6x⁴ – 7)(6x⁴ + 7)

Difference of two squares

a² – b² = (a + b)(a – b)

How factorise using difference of two squares

We can factorise the expression 36x⁸ – 49 using difference of two squares as follow:

36x⁸ – 49

Recall

36 = 6²

x⁸ = (x⁴)²

49 = 7²

Thus,

36x⁸ – 49 = 6²(x⁴)² – 7²

36x⁸ – 49 = (6x⁴)² – 7²

36x⁸ – 49 = (6x⁴ – 7)(6x⁴ + 7)

Therefore, the correct answer to the question is (6x⁴ – 7)(6x⁴ + 7)

Learn more about difference of two squares:

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