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Popular >

factor x^5-2^5

Solution

factor

x^{5} - 2^{5}

Solution

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

Solution steps

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})

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

\frac{x}{5} + 7 = 11

2/3 <= 5x-8<= 7

\frac{2}{3} \leq 5 x - 8 \leq 7

simplify (150pi)/(180)simplify

\frac{150 π}{180}

simplify-4b+8c+12-8b-2c+6 simplify

- 4 b + 8 c + 12 - 8 b - 2 c + 6

\frac{x + 1}{x - 6} < 0

Frequently Asked Questions (FAQ)

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