Question

Factor 64-x^15 in mathhhhgg

Answer 1

Factor 64-x^15 in mathhhhgg


(4-x^5) (16+4x^5 +x^10)


:)

Answer 2

Answer:

Factor of $64-x^{15}$ is $(4-x^{5})(16+4x^{5}+x^{10})$

Step-by-step explanation:

We need to factor the expression $64-x^{15}$

Re-write the given expression  $64-x^{15}$ as;

$4^{3}-(x^{5})^{3}$

Since, $a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})$

so, here $a = 4$ and $b = x^{5}$

$(4-x^{5})(4^{2}+4x^{5}+(x^{5})^{2})$

$(4-x^{5})(16+4x^{5}+x^{10})$

Hence, factor of  $64-x^{15}$ is

$(4-x^{5})(16+4x^{5}+x^{10})$