Question

if y=7 then find (5y+15/y)(25y^2-75+225/y^2)​

Answer 1

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$y = 7 \\ \\ (5y + \frac{15}{y} )(25 {y}^{2} - 75 + \frac{225}{ {y}^{2} })$

$(25 {y}^{2} - 75 + \frac{225}{ {y}^{2} } )$

$( {5y}^{2} + { (\frac{15}{y} )}^{2} - 75)$

${ (5y - \frac{15}{y} )}^{2}$

Put in question

$(5y + \frac{15}{y} )(5y - \frac{15}{y} )(5y - \frac{15}{y} )$

$( {5y}^{2} - ( \frac{15}{y} )^{2} (5y - \frac{15}{y} )$

Put value of y

$(25 \times 49) - ( \frac{225}{49} )(5 \times 7 - \frac{15}{7} )$

$( \frac{60025 - 225}{49} )( \frac{1715 - 15}{49} )$

$\frac{59800}{49} \times \frac{1700}{49}$

$\frac{101,660,000}{2401}$

$42,340.691378592 \: \: \: ans \:$

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Answer 2

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