How do you multiply (5y+3)(4y^2-7y-2)(5y+3)(4y2−7y−2)?
1 Answer
Dec 14, 2016
Explanation:
We must ensure that each term in the second bracket is multiplied by each term in the first bracket.
rArr(color(red)(5y+3))(4y^2-7y-2)⇒(5y+3)(4y2−7y−2)
=color(red)(5y)(4y^2-7y-2)color(red)(+3)(4y^2-7y-2)=5y(4y2−7y−2)+3(4y2−7y−2)
"now distribute the brackets"now distribute the brackets
=20y^3-35y^2-10y+12y^2-21y-6=20y3−35y2−10y+12y2−21y−6
"collecting like terms gives"collecting like terms gives
=20y^3+y^2(-35+12)+y(-10-21)-6=20y3+y2(−35+12)+y(−10−21)−6
=20y^3-23y^2-31y-6=20y3−23y2−31y−6
