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(a+b)^2

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(a+b)^2

    • Posted by Leo Leo 5 years ago

    ICSE & ISC > Class 09 > Mathematics
    • 2 answers

    Lalati Kumar 4 years, 7 months ago

    (a+b)^2=(a+b)(a+b) =a(a+b)+b(a+b) =a^2+ab+ab+b^2 =a^2+2ab+b^2

    0Thank You

    Gaurav Seth 5 years ago

    (a+b) ^2 means (a+b)*(a+b)

    So (a+b)*(a+b)=a*(a+b) <i>+</i> b*(a+b)

    On solving the brackets :

    a*(a+b) <i>+</i> b*(a+b)

    =(a*a) +(a*b) <i>+</i>(b*a) +(b*b)

    =a^2 + ab <i>+</i> ba + b^2

    =a^2 + 2ab + b^2

    So, (a+b) ^2 = a^2 + 2ab + b^2

    0Thank You

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