What is factor a^5+cos^5(x) ?

The solution to factor a^5+cos^5(x) is (a+cos(x))(a^4-a^3cos(x)+a^2cos^2(x)-acos^3(x)+cos^4(x))

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factor a^5+cos^5(x)

factor

a^{5} + cos^{5} (x)

(a + cos (x)) (a^{4} - a^{3} cos (x) + a^{2} cos^{2} (x) - a cos^{3} (x) + cos^{4} (x))

Solution steps

a^{5} + cos^{5} (x)

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1})

n is odd

a^{5} + cos^{5} (x) = (a + cos (x)) (a^{4} - cos (x) a^{3} + cos^{2} (x) a^{2} - cos^{3} (x) a + cos^{4} (x))

= (a + cos (x)) (a^{4} - cos (x) a^{3} + cos^{2} (x) a^{2} - cos^{3} (x) a + cos^{4} (x))

2 e^{9} + 13 e^{6}

e^{u^{2} - v^{2}}

(1 + 1) (x^{2} + 4)^{2}

(0.75 (S \cdot A)) \cdot B

6 v^{0.7} - v^{5.8}

What is factor a^5+cos^5(x) ?
The solution to factor a^5+cos^5(x) is (a+cos(x))(a^4-a^3cos(x)+a^2cos^2(x)-acos^3(x)+cos^4(x))