1+1=?
2+2=?
34555432255655433556+44467899876073=?
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=29/12.2-5/12.2-1/2
=(29/12-5/12).2-1/2
=2.2-1/2
=4-1/2
=8/4-1/2
=7/2
\(\left(1-\dfrac{1}{2^2}\right)\left(1-\dfrac{1}{3^2}\right)\left(1-\dfrac{1}{4^2}\right)...\left(1-\dfrac{1}{10^2}\right)\)
= \(\dfrac{2^2-1}{2^2}.\dfrac{3^2-1}{3^2}.\dfrac{4^2-1}{4^2}...\dfrac{10^2-1}{10^2}\)
= \(\dfrac{1.3}{2^2}.\dfrac{2.4}{3^2}.\dfrac{3.5}{4^2}...\dfrac{9.11}{10^2}\)
= \(\dfrac{\left(1.2.3...9\right).\left(3.4.5...11\right)}{\left(2.3.4...10\right)\left(2.3.4...10\right)}\)
= \(\dfrac{1.11}{10.10}=\dfrac{11}{100}\)
\(\left(x+2\right)\left(x^2-2x+1\right)+\left(1-x\right)\left(1+x+x^2\right)\)
\(=\left(x+2\right)\left(x-1\right)^2-\left(x-1\right)\left(1+x+x^2\right)\)
\(=\left(x-1\right)\left[\left(x+2\right)\left(x-1\right)-\left(1+x+x^2\right)\right]\)
\(=\left(x-1\right)\left(x^2+x-2-1-x-x^2\right)\)
\(=-3\left(x-1\right)\) \(=3\left(1-x\right)\)
\(\left(x-1\right)\left(x^2+x+1\right)-x\left(x-2\right)\left(x+2\right)\)
\(=x^3-1-x\left(x^2-4\right)\)
\(=x^3-1-x^3+4x\)
\(=4x-1\)
1+1=2
2+2=4
34555432255655433556+44467899876073=34555476723555309629
1+1=2
2+2=4
34555432255655433556+44467899876073=34 555 476 723 555 309 629