Karen Morrison and Nick Hamshaw Solutions for Exercise 8: Exercise 10.8

Expand and simplify. 

${\left(3x-2\right)}^2\left(2x-1\right)$

Expand and simplify.

${\left(x+2\right)}^3$

Expand and simplify.

${\left(2x-2\right)}^3$

Expand and simplify.

$\left(x^2{y}^2+x^2\right)\left(xy+x\right)\left(xy-x\right)$

Expand and simplify.

$\left(\frac{1}{3}+\frac{x}{2}\right)\left(\frac{1}{9}-\frac{x^2}{4}\right)\left(\frac{1}{3}-\frac{x}{2}\right)$

The volume of a cuboid can be found using the formula $V=lbh$, where $l$ is the length, $b$ is the breadth and $h$ is the height. A cuboid has length $\left(2x+\frac{1}{2}\right)m$, breadth $\left(x-2\right) m$ and height $\left(x-2\right) m$. Write an expression for the volume of the cuboid in factor form.

The volume of a cuboid can be found using the formula $V=lbh$, where $l$ is the length, $b$ is the breadth and $h$ is the height. A cuboid has length $\left(2x+\frac{1}{2}\right)m$, breadth $\left(x-2\right) m$ and height $\left(x-2\right) m$. Expand the expression for the volume of the cuboid in factor form.

The volume of a cuboid can be found using the formula $V=lbh$, where $l$ is the length, $b$ is the breadth and $h$ is the height. A cuboid has length $\left(2x+\frac{1}{2}\right)m$, breadth $\left(x-2\right) m$ and height $\left(x-2\right) m$. Determine the volume of the cuboid when $x=2.2 m$.