91Ó°ÊÓ

Factor completely. $$ x^{3}+\frac{1}{27} $$

A rectangular garden is \(30 \mathrm{ft}\) by \(40 \mathrm{ft}\). Part of the garden is removed in order to install a walkway of uniform width around it. The area of the new garden is one-half the area of the old garden. How wide is the walkway?

The diagonal braces in a lookout tower are 15 ft long and span a horizontal distance of 12 ft. How high does each brace reach vertically? CAN'T COPY THE IMAGE

Factor completely. If a polynomial is prime, state this. $$ 8-6 z-9 z^{2} $$

A wire is stretched from the ground to the top of an antenna tower. The wire is \(20 \mathrm{ft}\) long. The height of the tower is 4 ft greater than the distance \(d\) from the tower's base to the bottom of the wire. Find the distance \(d\) and the height of the tower. CAM'T COPY THE IMAGE

Write an equivalent expression by factoring out the greatest common factor. $$ 2 t^{2}+8 t $$

Factor completely. Remember to look first for a common factor. If a polynomial is prime, state this. $$ q^{2}+1 $$

Solve. $$ 375=24 x^{3} $$

Factor completely. If a polynomial is prime, state this. $$ 64 t^{6}-1 $$

Write an equivalent expression by factoring out the greatest common factor. $$ 6 a b-4 a d+12 a c $$