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Popular >

factor x^5+32

Solution

factor

x^{5} + 32

Solution

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

Solution steps

x^{5} + 32

Rewrite

32

as

2^{5}

= x^{5} + 2^{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

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

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

Simplify

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

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

Popular Examples

factor 3x^3+2x^2-19x+6 factor

3 x^{3} + 2 x^{2} - 19 x + 6

x^{2} + 6 x + 9 = 0

simplify 3(5/6)^2-5(5/6)+6 simplify

3 (\frac{5}{6})^{2} - 5 (\frac{5}{6}) + 6

factor 5x^2-40x+75 factor

5 x^{2} - 40 x + 75

5 - 3 x \leq - 2

Frequently Asked Questions (FAQ)

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