What is expand (13(81-36y+4y^2))/9 ?

The solution to expand (13(81-36y+4y^2))/9 is (52y^2)/9-52y+117

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expand (13(81-36y+4y^2))/9

expand

\frac{13 ( 81 - 36 y + 4 y ^{2} )}{9}

\frac{52 y ^{2}}{9} - 52 y + 117

Solution steps

\frac{13 ( 81 - 36 y + 4 y ^{2} )}{9}

Expand

13 (81 - 36 y + 4 y^{2}) : 1053 - 468 y + 52 y^{2}

= \frac{1053 - 468 y + 52 y ^{2}}{9}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{1053 - 468 y + 52 y ^{2}}{9} = \frac{1053}{9} - \frac{468 y}{9} + \frac{52 y ^{2}}{9}

= \frac{1053}{9} - \frac{468 y}{9} + \frac{52 y ^{2}}{9}

Divide the numbers:

\frac{1053}{9} = 117

= 117 - \frac{468 y}{9} + \frac{52 y ^{2}}{9}

Divide the numbers:

\frac{468}{9} = 52

= 117 - 52 y + \frac{52 y ^{2}}{9}

Rewrite in standard form

= \frac{52 y ^{2}}{9} - 52 y + 117

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What is expand (13(81-36y+4y^2))/9 ?
The solution to expand (13(81-36y+4y^2))/9 is (52y^2)/9-52y+117