SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Functions, 2ADV EQ-Bank 04

Simplify  \(\dfrac{a^3 b-a b^3}{a^2+2 a b+b^2}\).   (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

\(\dfrac{a b(a-b)}{a+b}\)

Show Worked Solution
\(\dfrac{a^3 b-a b^3}{a^2+2 a b+b^2}\) \(=\dfrac{a b\left(a^2-b^2\right)}{(a+b)^2}\)
  \(=\dfrac{a b(a+b)(a-b)}{(a+b)^2}\)
  \(=\dfrac{a b(a-b)}{a+b}\)

Filed Under: Algebraic Techniques (Adv-2027) Tagged With: Band 3, smc-6213-10-Algebraic Fractions

Copyright © 2014–2025 SmarterEd.com.au · Log in