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

1 Answer
Rachel
Apr 6, 2018

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

Explanation:

color(white)(..)+color(green)(60)
color(white)(..)xx 675
* * * * * *
color(white)(.)1 color(white)(0)xx 675
color(white)(.)3 color(white)(0)xx 225
color(white)(.)5 color(white)(0)xx 135
color(white)(.)9 color(white)(0) xx 75
color(white)(.)15 xx 45 => color(red)(15)+color(red)(45) = color(green)(60)

So we've got

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

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

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

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