InterviewSolution
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InterviewSolution
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`sqrt(2)x^2+9x+4sqrt(2)` |
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Answer» The given expression is `sqrt(2x)^2+9x+4sqrt(2)`. Here, `sqrt(2)xx 4sqrt(2)=8` We split 9 into two parts whose sum is 9 and product 8. Clearly , `(8+1)=9 and (8xx1)=8` `therefore sqrt(2)x^2+9x+4sqrt(2)=sqrt(2)=sqrt(2)x^2+8x+x+4sqrt(2)` `=sqrt(2)x(x+4sqrt(2))+(x+4sqrt(2))` ` =(x+4sqrt(2))(sqrt(2)x +1)`. Hence, `(sqrt(2)x^2+9x+4sqrt(2))=9x+4sqrt(2))(sqrt(2)x+1)`. |
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