How do you simplify 12a (a^2 + b) - 5b (b^2 + a) + 9b (b^2 + a) - 3a (a^2 + b)12a(a2+b)−5b(b2+a)+9b(b2+a)−3a(a2+b)?
1 Answer
Sep 20, 2017
Explanation:
Step one : Expand the brackets
which gives us
Step two : Collect like terms
color(red)(12a^3)-5b^3-5ab+9b^3+9ab color(red)( -3a^3)-3ab= color(green)(9a^3)-5b^3-5ab+9b^3+9ab-3ab12a3−5b3−5ab+9b3+9ab−3a3−3ab=9a3−5b3−5ab+9b3+9ab−3ab 9a^3+color(red)(12ab)-5b^3color(red)(-5ab)+9b^3color(red)(+9ab) color(red)(-3ab) = 9a^3 + color(green)(13ab)-5b^3+9b^39a3+12ab−5b3−5ab+9b3+9ab−3ab=9a3+13ab−5b3+9b3 9a^3+13abcolor(red)(-5b^3)+color(red)(9b^3)= 9a^3 +13ab +color(green)(4b^3)9a3+13ab−5b3+9b3=9a3+13ab+4b3
Answer: