algebra

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Simplify the expressions.
1. (-6c^2)(2c^2-3c)
2. (-5d-10d^2)(-6d^3)
3. x^3-(4x+3x^2)(x^2)
4. (-8y^2)(3y-4)+6y^2-5y^3
5. (18m/-4n) / (-1/4m)
6. (5x^2) / (2x/15)
7. (-16x+9) / (-4)
8. (-32-4x) / (-8)

• algebra -

First you have to study the laws of exponents, which include:
ax * ay = ax+y
ax / ay = ax-y
ax * ay = (ax+y)y = axy
a-x = 1/ax
a1/x = xth root of a

When you have a multiplication of powers, you would group together factors with the same base and apply the above rules.
I will do the first one to give you a kick-start.
(-6c^2)(2c^2-3c)
= -6 (c²)(2c²-3c)
= -6 (2c2+2 - 3c2+1)
= -6(2c⁴-3c³)
= -12c⁴+18c³)

• algebra -

You can now attempt the rest of the problems and send in your answers for checking if you wish.

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