# agelbra- factoring formulas

May 28th, 2015
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Algebra Identities to Solve some Simple Problems : Algebraic identity for (x + a)(x + b) By using the distributive properties of numbers, (x + a )(x + b ) = x(x + b) + a(x + b) = x2 + xb + ax + ab = x2 + ax + bx + ab= x2 + (a + b)x + ab.

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Algebra Help.. (Identities)Putting the stuff together, we getNote also that we haveFactoring FormulasAlgebra Identities to Solve some Simple Problems :Algebraic identity for (x+a)(x+b)By using the distributive properties of numbers,(x+a)(x+b) =x(x+b) +a(x+b) =x2+xb+ax+ab =x2+ax+bx+ab=x2+ (a+b)x+ab.(x+a)(x+b) x2+ (a+b)x+ab(xa)(x+b) x2+ (ba)xab(x+a)(xb) x2+ (ab)xab(xa)(xb) x2 (a+b)x+ab(a+b)2a2+ 2ab+b2(ab)2a2 2ab+b2(a+b)(ab) a2b2(a+b)3a3+ 3a2b+ 3ab2+b3(ab)3a33a2b+ 3ab2b3a3+b3(a + b)33ab(a + b)a3b3(ab)3+3ab(ab)Difference of squaresDifference of cubesSum of cubesSpecial Algebra ExpansionsFormula for (a+b)2and (a-b)2Formula for (a+b)3and (a-b)3FormulaConsider this quadratic equation:Wherea,bandcare the leading coefficients.The roots for this quadratic equation will be

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