1.
Simplify 1 + x + x(x+1) + x(x+1)² + x(x+1)³ + ... + x(x+1)^2008
2.
Factorize x^4 + y^4 + z^4 - 2x²y² - 2y²z² - 2z²x² by completing x^4+y^4 as a perfect square.
3.
Factorize (1+b)² + (a^4)(1-b)² - 2a²(1+b²) by adding terms and completing square.
4.
Factorize (x²+3x+2)(2x+1)(2x+3) - 90
5.
Factorize 16(6x-1)(2x-1)(3x+1)(x-1) + 25
6.
Factorize x^4 + x³ + x² + 2