# Thread: Combining skills : Simplyfing Expressions.

1. ## Combining skills : Simplyfing Expressions.

Explain how it solved?

2. Originally Posted by deekay930
Explain how it solved?

The first one is different from the second.

1) $\displaystyle \frac{(2ab^2 + 6)(-4ab + 2)}{2a^2}$

Take out a common factor of $\displaystyle 2$

$\displaystyle =\frac{2(ab^2 + 3)(-4ab + 2)}{2a^2}$

Cancel the $\displaystyle 2$s in the numerator and denominator

$\displaystyle =\frac{(ab^2 + 3)(-4ab + 2)}{a^2}$

Now you could either expand the numerator, or take out a common factor of $\displaystyle -2$, whichever you think is simpler.

2) $\displaystyle \frac{(2ab^2 + 6) + (-4ab^2 + 2)}{2a^2} = \frac{2ab^2 + 6 - 4ab^2 + 2}{2a^2}$

Collect like terms in the numerator

$\displaystyle =\frac{8 - 2ab^2}{2a^2}$

Take out the common factor of $\displaystyle 2$ in the numerator

$\displaystyle =\frac{2(4 - ab^2)}{2a^2}$

Cancel out the $\displaystyle 2$ in the numerator and denominator

$\displaystyle =\frac{4 - ab2}{a^2}$.