91Ó°ÊÓ

Expand and simplify each expression. $$ (x+2.5)^{2} $$

Use the distributive property to expand each expression. $$ \frac{1}{2} x(x-2) $$

Expand and simplify each expression. $$ (t-11)^{2} $$

Expand and simplify each expression. $$ \left(q-\frac{1}{4}\right)^{2} $$

Imagine a rectangular swimming pool in which the bottom is made of large square tiles. The pool is 25 tiles longer than it is wide. Around the edge of the pool, at the top, is a border made of the same square tiles. The border is one tile wide. a. If \(n\) represents the number of tiles in the width of the bottom of the pool, write an expression for the total number of tiles in the bottom of the pool. b. Write an expression for the number of tiles in both the bottom of the pool and the border.

Find each product or quotient. Simplify your answers. $$ \frac{1}{a} \div \frac{1}{a} $$

Find each product or quotient. Simplify your answers. $$ \frac{m}{4} \div \frac{4}{m} $$

Write each expression as the product of binomials. $$ 16-25 x^{2} $$

Expand each expression. Simplify your expansion if possible. \((4 x+1)^{2}\)

Rewrite each expression using a single base and a single exponent. $$ a^{12} \cdot\left(a^{2}\right)^{-7} $$