Question

Write the three identities.​

Answer 1

Answer:

(a+b)2=a2+2ab+b2.

(a-b)2=a2-2ab+b2.

a2+b2=(a+b)(a-b).

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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

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

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

$(a +b +c ) ^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ac$

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

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

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

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

${ a}^{3} + {b}^{3} + {c}^{3} - 3 abc = (a + b + c)( a^{2} + b^{2} + c ^{2} - ab - bc - ac)$