What is ((x+1)^{2^n}+(x+3)^2-2(2x+1))/(x^2+2x-2) ?

The solution to ((x+1)^{2^n}+(x+3)^2-2(2x+1))/(x^2+2x-2) is (x^2+(x+1)^{2^n}+2x+7)/(x^2+2x-2)

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simplify ((x+1)^{2^n}+(x+3)^2-2(2x+1))/(x^2+2x-2)

simplify

\frac{( x + 1 ) ^{2^{n}} + ( x + 3 ) ^{2} - 2 ( 2 x + 1 )}{x ^{2} + 2 x - 2}

\frac{x ^{2} + ( x + 1 ) ^{2^{n}} + 2 x + 7}{x ^{2} + 2 x - 2}

Solution steps

\frac{( x + 1 ) ^{2^{n}} + ( x + 3 ) ^{2} - 2 ( 2 x + 1 )}{x ^{2} + 2 x - 2}

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= \frac{( x + 1 ) ^{2^{n}} + x ^{2} + 6 x + 9 - 2 ( 2 x + 1 )}{x ^{2} + 2 x - 2}

Expand

- 2 (2 x + 1) : - 4 x - 2

= \frac{( x + 1 ) ^{2^{n}} + x ^{2} + 6 x + 9 - 4 x - 2}{x ^{2} + 2 x - 2}

Simplify

(x + 1)^{2^{n}} + x^{2} + 6 x + 9 - 4 x - 2 : x^{2} + (x + 1)^{2^{n}} + 2 x + 7

= \frac{x ^{2} + ( x + 1 ) ^{2^{n}} + 2 x + 7}{x ^{2} + 2 x - 2}

\frac{ln ( 0.88 )}{1000}

(2 a - 8) + (3 a + 11)

\frac{( - 4 x ^{4} + 10 x ^{3} - 26 x ^{2} + 26 x + 6 )}{( - 4 x + 6 )}

(2 x - 3 y)^{2}

What is ((x+1)^{2^n}+(x+3)^2-2(2x+1))/(x^2+2x-2) ?
The solution to ((x+1)^{2^n}+(x+3)^2-2(2x+1))/(x^2+2x-2) is (x^2+(x+1)^{2^n}+2x+7)/(x^2+2x-2)