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If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]

Multiply the polynomials (x+3)(x^2-6x+5)