The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%

To add these radicals together their radicands must be the same:

6\( \sqrt{75} \) + 4\( \sqrt{3} \)
6\( \sqrt{25 \times 3} \) + 4\( \sqrt{3} \)
6\( \sqrt{5^2 \times 3} \) + 4\( \sqrt{3} \)
(6)(5)\( \sqrt{3} \) + 4\( \sqrt{3} \)
30\( \sqrt{3} \) + 4\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

To simplify a radical, factor out the perfect squares:

\( \sqrt{175} \)
\( \sqrt{25 \times 7} \)
\( \sqrt{5^2 \times 7} \)
5\( \sqrt{7} \)

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

2x⁵ - 6x⁵
(2 - 6)x⁵
-4x⁵