How do you factor by grouping $25 v^{2} + 60 v + 27$ $25v^2+60v+27$ ?

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How do you factor by grouping $25 v^{2} + 60 v + 27$ $25v^2+60v+27$ ?

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Answer 1 · 2018-04-06T19:14:36

$(5 v + 3) (5 v + 9)$ $(5v+3)(5v+9)$

Explanation:

$. . + 60$ $color(white)(..)+color(green)(60)$
$. . \times 675$ $color(white)(..)xx 675$
$\cdot \cdot \cdot \cdot \cdot \cdot$ $* * * * * *$
$. 10 \times 675$ $color(white)(.)1 color(white)(0)xx 675$
$. 30 \times 225$ $color(white)(.)3 color(white)(0)xx 225$
$. 50 \times 135$ $color(white)(.)5 color(white)(0)xx 135$
$. 90 \times 75$ $color(white)(.)9 color(white)(0) xx 75$
$. 15 \times 45$ $color(white)(.)15 xx 45$ $\Rightarrow 15 + 45 = 60$ $=> color(red)(15)+color(red)(45) = color(green)(60)$

So we've got

$(25 v^{2} + 45 v) + (15 v + 27)$ $(25v^2 + color(red)(45)v) + (color(red)(15)v + 27)$

$5 v (5 v + 9) + 3 (5 v + 9)$ $5v(5v+9) + 3(5v+9)$

$(5 v + 3) (5 v + 9)$ $(5v+3)(5v+9)$

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How do you factor by grouping $25 v^{2} + 60 v + 27$ $25v^2+60v+27$ ?

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How do you factor by grouping 25v2+60v+2725v^2+60v+27?

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How do you factor by grouping $25 v^{2} + 60 v + 27$ $25v^2+60v+27$ ?