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Snezhnost [94]
3 years ago
9

Factor completely.

Mathematics
2 answers:
Klio2033 [76]3 years ago
4 0

Answer:

A.) (7t³ + 2k^4)(7t³ - 2k^4)

Step-by-step explanation:

This is what we call a conjugate binomial which is two binomials with similar terms but with one of those terms with different signs, this shows a result of the first term squared minus the second term squared.

The formula for conjugate binomials are:

(a+b)(a-b)= a^{2}-b^{2}

In this case the multiplication of

(7t³ + 2k^{8})(7t³ - 2k^{8} )= 49 t^{6} + 14k^{4}t^{3} - 14k^{4}t^{3}  - 4k^{8}

After substracting the second and the third term you are left with:

49t^{6} - 4k^{8}

tatyana61 [14]3 years ago
3 0

Answer:

A.) (7t³ + 2k^4)(7t³ - 2k^4)

Step-by-step explanation:

Factor the following:

49 t^6 - 4 k^8

49 t^6 - 4 k^8 = (7 t^3)^2 - (2 k^4)^2:

(7 t^3)^2 - (2 k^4)^2

Factor the difference of two squares. (7 t^3)^2 - (2 k^4)^2 = (7 t^3 - 2 k^4) (7 t^3 + 2 k^4):

Answer:  (7 t^3 - 2 k^4) (7 t^3 + 2 k^4)

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