How do you simplify (3y + 3) (y + 2)(3y+3)(y+2)?

1 Answer
Don't Memorise
Jun 22, 2015

= color(red)(3y^2 + 9y + 6=3y2+9y+6

Explanation:

(color(red)(3y + 3)) (y + 2)(3y+3)(y+2)
We multiply each of the two terms of the first bracket with each term within the second bracket:

= color(red)(3y) . (y+2) + color(red)(3) . (y + 2)=3y.(y+2)+3.(y+2)
= 3y^2 + 6y + 3y + 6=3y2+6y+3y+6
= color(red)(3y^2 + 9y + 6=3y2+9y+6

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