InterviewSolution
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InterviewSolution
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Factorize of theexpression:`5sqrt(5) x^2+30 x+8sqrt(5)` |
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Answer» The given expression is ` 5sqrt(5)x^2+30x+8sqrt(5)`. Here, `(5sqrt(5)xx 8sqrt(5))=200`. So, we split 30 into two parts whose sum is 30 and product 200. Clearly, `(20+10) =30 and (20xx 10) =200` `therefore 5sqrt(5)x^2+30x+8sqrt(5)=5sqrt(5)x^2+20x^2+20x+10x+8sqrt(5)`. `=5x(sqrt(5)x+4)+2sqrt(5)(sqrt(5)x+4)` `=(sqrt(5)x+4)(5x+2sqrt(5))`. Hence, `(5sqrt(5)x^2+30x+8sqrt(5))=(sqrt(5)x +4)(5x+2sqrt(5))`. |
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