8th Class Mathematics Sample Paper Mathematics Sample Paper - 1

  • question_answer
    Find the value of\[\frac{{{38}^{2}}-{{22}^{2}}}{16}\], using a suitable identity.

    Answer:

    Since, \[{{a}^{2}}-{{b}^{2}}=(a+b)(a-b)\]therefore,
    \[{{38}^{2}}-{{22}^{2}}-(38-22)(38+22)\]       
    \[=16\times 16\]
    So, \[\frac{{{38}^{2}}-{{22}^{2}}}{16}=\frac{16\times 60}{16}\]
    =60


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