if abx^2 = (a^2 - 2ab +b^2)(x+1)
then find find the value of 4/x + 4/x^2 + 1
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After 1919, Jewish people in Germany were free and legally equal and often felt more German than Jewish. Many were wealthy and successful.
But there was an undercurrent of anti-Jewish racism, called 'anti-Semitism', in Germany. Hitler appealed to this anti-Semitism by blaming the Jewish people for Germany's defeat in the First World War. Nazi race-scientists incorrectly claimed that the Jewish people were sub-human.
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abx² = {(a-b)²}{x+1}
By dividing x^2 on both sides we get,
- ab = {(a-b)²}{(1/x)+(1/x²)}
- ab/{(a-b)²} = (1/x)+(1/x²)
Multiply 4 on both sides
- 4ab/{(a-b)^2} = (4/x) + (4/x^2)
Add 1 on both sides
- 4ab/{(a-b)²} + 1 = 1 + (4/x) + (4/x²)
Interchange both sides
- 1 + (4/x) + (4/x²) = {4ab + (a-b)²}/{(a-b)²}
- = {4ab + a²+ b² - 2ab}/{(a-b)²}
- = {a² + b² + 2ab}/{(a-b)²}
- = {(a+b)²}/{(a-b)²}
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