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### Middle/High School Algebra, Geometry, and Statistics (AGS) Important Formulas

 Important Formulas: 1. (a+b)2 = a2+2ab+b2 2. (a-b)2 = a2-2ab+b2 3. (a+b)(a-b) = a2-b2 4. (a+b)(a2-ab+b2) = a3+b3 5. (a-b)(a2+ab+b2) = a3-b3 6. (a+b)3 = a3+3a2b+3ab2+b3 7. (a-b)3 = a3-3a2b+3ab2-b3 8. (a+b+c)2 = a2+b2+c2+2ab+2bc+2ac 9. (a+b+c) (a2+b2+c2-ab-bc-ca)= a3+b3+c3-3abc 10. (x+a)(x+b) = x2+x(a+b)+a.b 11. (ax+b)(cx+d) = acx2+x(ad+bc)+b.d 12. (x+a)(x+b)(x+c) = x3+x2(a+b+c)+x(ab+bc+ca)+abc Directions: Write all the above formulas on a sheet of paper.

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