Question

What is `(-15a^6b^3c^2) -: (-3a^3b^2c)`?

Answer 1

`=5a^3bc`

Explanation:

When simplifying in Algebra, do it in 3 steps... Look at :

• the signs
• the numbers
• the indices

Division is done easier if it is in fraction form:

`(-15a^6b^3c^2)/(-3a^3b^2c)`

The signs? "Negative divided by negative is a positive."

The numbers? "`15 div 3 = 5`"

The indices? "Subtract the indices of like bases.

`(color(red)(-)color(blue)(15)(a^6b^3c^2))/(color(red)(-)color(blue)(3)(a^3b^2c)) = color(red)(+)color(blue)(5)(a^3bc)`

`=5a^3bc`