Question

what is the all algebraic identities

Answer 1

Below are some of the Standard Algebraic Identities:

Identity I: (a + b)2 = a2 + 2ab + b2

Identity II: (a – b)2 = a2 – 2ab + b2

Identity III: a2 – b2= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab

Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)

Identity VII: (a – b)3 = a3 – b3 – 3ab (a – b)

Identity VIII: a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)


Hope, this helps you a lot....

Answer 2

ANSWER......

ALL ALGEBRIC IDENTITIES_______________ ____________________________________

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab$
${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$
${a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab$
${a}^{2} - {b}^{2} = (a + b)(a - b)$
${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b )$
${(a - b)}^{3} = {a}^{3} - {b}^{3} + 3ab(a - b)$
${a}^{3} - {b}^{3} = {(a +b )}^{3} - + 3ab(a - b )$
${a}^{3} + {b}^{3} = {( a+ b)}^{3} - 3ab(a + b )$
${(a +b )}^{2} - {(a - b)}^{2} = 4ab$
${(a +b )}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )$


☆☆☆☆HOPE THIS WILL HELP YOU........