Learn how to calculate the degree with the natural indicators. When multiplying degrees with the same grounds get the degree number, the base of which remains the same, and the exponents are added b^m+b^n=b^(m+n). By dividing the degrees with the same bases receive the degree number, the base of which remains the same, and the exponents are subtracted, and the rate of the dividend is subtracted the index divisor of b^m:b^n=b^(m-n). During the construction of the degree in the degree obtained degree number, the base of which remains the same, and the two values are multiplied (b^m)^n=b^(mn)in the exponentiation of products of numbers in this degree is built every multiplier.(abc)^m=a^m*b^m*c^m
Play the polynomials into factors, i.e. imagine them as a product of multiple factors of polynomials and monomials. Take out a common factor of the brackets. Learn the basic formulas of reduced multiplication: the difference of squares, square sums, square differences, sum of cubes, difference of cubes, cube of sum and difference. For example, m^8+2*m^4*n^4+n^8=(m^4)^2+2*m^4*n^4+n^4)^2. These are the basic formulas to simplify expressions. Use the method of separating the complete square trinomial of the form ax^2+bx+c.
As often as possible, reduce fractions. For example, (2*a^2*b)/(a^2*b*c)=2/(a*c). But remember that you can cut only the multipliers. If the numerator and denominator of algebraic fractions to multiply by the same number other than zero, then the value of the fraction will not change. To convert a rational expression in two ways: chain and action. The second method is preferable because it is easier to check the results of the intermediate actions.
Often in expressions it is necessary to extract the roots. The roots of even degree is extracted from only non-negative expressions or numbers. The roots of an odd degree is retrieved from any expressions.