What is factor 0.1(x-1)(x+1)^4+1 ?

The solution to factor 0.1(x-1)(x+1)^4+1 is 0.1x^5+0.3x^4+0.2x^3-0.2x^2-0.3x+0.9

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factor 0.1(x-1)(x+1)^4+1

factor

0.1 (x - 1) (x + 1)^{4} + 1

0.1 x^{5} + 0.3 x^{4} + 0.2 x^{3} - 0.2 x^{2} - 0.3 x + 0.9

Solution steps

0.1 (x - 1) (x + 1)^{4} + 1

(x + 1)^{4} : x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1

= 0.1 (x - 1) (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) + 1

Expand

0.1 (x - 1) (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) : 0.1 x^{5} + 0.3 x^{4} + 0.2 x^{3} - 0.2 x^{2} - 0.3 x - 0.1

= 0.1 x^{5} + 0.3 x^{4} + 0.2 x^{3} - 0.2 x^{2} - 0.3 x - 0.1 + 1

Add/Subtract the numbers:

- 0.1 + 1 = 0.9

= 0.1 x^{5} + 0.3 x^{4} + 0.2 x^{3} - 0.2 x^{2} - 0.3 x + 0.9

2 a x + 2 b x + 3 a y + 3 b y

cos^{2} (x) - 3 cos (x) - 18

a^{2} m - 4 m + a^{2} n - 4 n

x 2 - 3 x + 9

1 + 34 3^{3}

What is factor 0.1(x-1)(x+1)^4+1 ?
The solution to factor 0.1(x-1)(x+1)^4+1 is 0.1x^5+0.3x^4+0.2x^3-0.2x^2-0.3x+0.9