8th Class Mathematics Sample Paper Mathematics Sample Paper - 3

  • question_answer   Using a suitable identity to get the product \[\left( 3x-\frac{1}{3} \right)\left( 3x-\frac{1}{3} \right)\].

    Answer:

    Using the identity \[{{\left( a-b \right)}^{2}}={{a}^{2}}-2ab+{{b}^{2}},\] We have,  \[\left( 3x-\frac{1}{3} \right)\left( 3x-\frac{1}{3} \right)={{\left( 3x-\frac{1}{3} \right)}^{2}}\] \[={{(3x)}^{2}}-2(3x)\left( \frac{1}{3} \right)+{{\left( \frac{1}{3} \right)}^{2}}\] \[=9{{x}^{2}}-2x+\frac{1}{9}.\]


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