What is factor 32x^5+y^5 ?

The solution to factor 32x^5+y^5 is (2x+y)(16x^4-8x^3y+4x^2y^2-2xy^3+y^4)

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factor 32x^5+y^5

factor

32 x^{5} + y^{5}

(2 x + y) (16 x^{4} - 8 x^{3} y + 4 x^{2} y^{2} - 2 x y^{3} + y^{4})

Solution steps

32 x^{5} + y^{5}

Apply exponent rules

= (2 x)^{5} + y^{5}

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 i s o dd

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

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

Simplify

(2 x + y) (2^{4} x^{4} - 2^{3} x^{3} y + 2^{2} x^{2} y^{2} - 2 x y^{3} + y^{4}) : (2 x + y) (16 x^{4} - 8 x^{3} y + 4 x^{2} y^{2} - 2 x y^{3} + y^{4})

= (2 x + y) (16 x^{4} - 8 x^{3} y + 4 x^{2} y^{2} - 2 x y^{3} + y^{4})

(2 sin (θ))^{2}

\frac{x - 4}{3} + \frac{5 x}{3}

8 (6)

e^{3 l n (y)}

e^{1} + 1

What is factor 32x^5+y^5 ?
The solution to factor 32x^5+y^5 is (2x+y)(16x^4-8x^3y+4x^2y^2-2xy^3+y^4)