using pythagorean theorem
a^2 + b^2 =c^2
a^2 +8^2 =14^2
a^2 +64 = 196
subtract 64 from each side
a^2 = 132
take the square root of each side
a^2 = sqrt (132)
a=11.48912529
a =11.5
-38(-3) = 114
-72/(-12) = 6
-9 x 23 = -207
-150/5 = -30
564 / -4 = -141
<h3><u>Solution:</u></h3>
Given that, we have to find each product or quotient
<em><u>-38(-3)</u></em>
It is a product, so we have to find product value

<em><u>-72 / (-12)</u></em>
It is division, so we have to find the quotient

<em><u>-9 x 23</u></em>
It is a product, so we have to find product value

<em><u>- 150 / 5</u></em>
It is division, so we have to find quotient

<em><u>564 / -4</u></em>
It is division, so we have to find the quotient

This is the concept of algebra, we are required to add up the terms given above, here we shall have:
3/(4x)+21/(8x)+26x+15
when we sum up we get:
27/(8x)+26x+15
=(27+208x^2+120x)/(8x)
The simplified form of the summation of the terms is:
(27+208x^2+120x)/(8x)