Multiplying Rational Expressions

Question

Answer 1

[(4a - 12)/(3a + 6) ] X [6a^2 - 24)/(a^2 + 3a - 18)]

              =   [4(a - 3)/3(a + 2) ] X [6(a^2 - 4)/(a^2 + 6a - 3a - 18)]

              =   [4(a - 3)/(a + 2) ] X {[2(a + 2)(a - 2)] / [a(a + 6) - 3(a + 6)]}

              =   8[(a - 3)/(a + 2) ] X {(a + 2)(a - 2)/[(a + 6)(a - 3)]}

              =   8(a - 2) / (a + 6)

Hence

[(4a - 12)/(3a + 6) ] X [6a^2 - 24)/(a^2 + 3a - 18)]   =   8(a - 2) / (a + 6)