6x^3+6x^5+12x^4=6x^3 (1+6X^2+2X)= 6X^3 [1+2X(3X+1)]
Using distributive property, factor out the coomon term to get the equivalent expression
<em><u>Solution:</u></em>
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
The distributive property can be represented as:
a(b + c) = ab + bc
Let us consider a expression
30 + 5x
We have to write a equivalent expression
Use the distributive property
30 = 6 x 5
Thus 30 + 5x becomes,

Factor out 5 from above expression

Thus, equivalent expression is 5(6 + x) for 30 + 5x
Answer:

Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have the center (0, 3) and the point (-1.5, 3) on the circumference.
The radius is a distance between given points: r = 1.5.
Substitute:

Answer: So the area of the square is<u> 100 </u>while the sides are all equal to <u>10</u> leaving a perimeter of <u>40</u> since the square has 4 sides so 4*10=40
Step-by-step explanation: So for this questions you want to look at the bigger picture and what I mean by that is the larger square BHFD outside of square ACEG right. So if you look carefully you'll see 4 triangles labeled something like ABC, AHG, CDE, and GEF. using these triangles and there sides we can solve for the hypotenuse which is also the side of the square ACEG and since all the triangles have the same dimensions we only need to solve for one of them. So using pythagorean theroem 8^2+6^2=c^2 where in this case c = a side of the square ACEG so c = <u>10</u>. Now that we have the sides all equal 10 the area or length times width = 10*10=<u>100</u>. Hope it helps :)