আজকের এই Algebra Square and Cube Formula পোস্টে আমরা বীজগণিতের কিছু গুরুত্বপূর্ণ সূত্র
নিয়ে আলোচনা করবো। যেগুলি খুবই গুরুত্ব পূর্ণ এবং এই সূত্রগুলি সকল গণিত প্রেমী
মানুষের জানা উচিত। এখানে আমরা Basic Algebra Formula এর Algebra Square Formula
এবং Algebra Cube Formula নিয়ে আলোচনা করবো। এই বীজগণিতের সুত্র গুলি হল-
Algebra Square Formula
$$ \boldsymbol{\left(a+b\right)^{2}}=a^{2}+2ab+b^{2} $$ $$
\boldsymbol{\left(a+b\right)^{2}}=(a-b)^{2}+4ab $$ $$
\boldsymbol{\left(a-b\right)^{2}}=a^{2}-2ab+b^{2} $$ $$
\boldsymbol{\left(a-b\right)^{2}}=(a+b)^{2}-4ab $$ $$
\boldsymbol{\left(a^{2}+b^{2}\right)}=(a+b)^{2}-2ab $$ $$
\boldsymbol{\left(a^{2}+b^{2}\right)}=(a-b)^{2}+2ab $$ $$
\boldsymbol{\left(a^{2}-b^{2}\right)}=(a+b)(a-b) $$ $$
\boldsymbol{2\left(a^{2}+b^{2}\right)}=(a+b)^{2}+(a-b)^{2} $$ $$
\boldsymbol{4ab}=(a+b)^{2}-(a-b)^{2} $$ $$
\boldsymbol{ab}=\left(\frac{a+b}{2}\right)^{2}-\left(\frac{a-b}{2}\right)^{2}
$$ $$ \boldsymbol{\left(a+b+c\right)^{2}}=a^{2}+b^{2}+c^{2}+2ab+2bc+2ca $$
Algebra Cube Formula
$$ \boldsymbol{\left(a+b\right)^{3}}=a^{3}+3a^{2}b+3ab^{2}+b^{3} $$ $$
\boldsymbol{\left(a+b\right)^{3}}=a^{3}+b^{3}+3ab(a+b) $$ $$
\boldsymbol{\left(a-b\right)^{3}}=a^{3}-3a^{2}b+3ab^{2}-b^{3} $$ $$
\boldsymbol{\left(a-b\right)^{3}}=a^{3}-b^{3}-3ab(a-b) $$ $$
\boldsymbol{\left(a^{3}+b^{3}\right)}=(a+b)^{3}-3ab(a+b) $$ $$
\boldsymbol{\left(a^{3}+b^{3}\right)}=(a+b)(a^{2}-ab+b^{2}) $$ $$
\boldsymbol{\left(a^{3}-b^{3}\right)}=(a-b)^{3}+3ab(a-b) $$ $$
\boldsymbol{\left(a^{3}-b^{3}\right)}=(a-b)(a^{2}+ab+b^{2}) $$ $$
\boldsymbol{a^{3}+b^{3}+c^{3}-3ab}=(a+b+c)(a^{2}+b^{2}+c^{2}-ab-bc-ca) $$
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Algebra Formula for Class 7, Algebra Formula for Class 8, Algebra Formula for Class 9, Algebra Formula for Class 10, WBBSE Class 7 Math Solution, WBBSE Class 8 Math Solution, WBBSE Class 9 Math Solution, WBBSE Class 10 Math Solution
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