book Maths Puzzle Numerical Ability

How do you solve X^2+2x+1 by factoring

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book Other Question

Subject is find the equation or formula for the variable specified

ex: 8t-r=12t would i be right if I subtracted r from both sides?
I am not understanding how to find the for
Decompose into partial fractions and polynomials, if applicable:
{{{(2x^5+2x^4-6x^3)/(x^4+4x+3)}}}