8th Class Mathematics Sample Paper Mathematics Sample Paper - 9

  • question_answer
    Simplify: \[{{\left( 2x+5 \right)}^{2}}-{{\left( 2x-5 \right)}^{2}}.~\]

    Answer:

    \[{{\left( 2x+5 \right)}^{2}}{{(2x-5)}^{2}}=\left[ {{\left( 2x \right)}^{2}}+{{\left( 5 \right)}^{2}}+2\times 2x\times 5 \right]\]
    \[\left[ {{\left( 2x \right)}^{2}}+{{\left( 5 \right)}^{2}}2\times 2x\times 5 \right]\]
    \[=\left[ 4{{x}^{2}}+25+20x \right]\left[ 4{{x}^{2}}+2520x \right]\]
    \[=\text{ }4{{x}^{2}}+25+20x\text{ }4{{x}^{2}}25+20x\]
    \[=20x+20x\]
    \[=\text{ }40x\]
         


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