91Ó°ÊÓ

Reduce each fraction to simplest form. Each is from the indicated area of application. $$\frac{a^{3}-b^{3}}{a^{3}-a b^{2}} \quad \text { (beam design) }$$

In Exercises \(71-76,\) reduce each fraction to simplest form. Each is from the indicated area of application. $$\frac{m u^{2}-m v^{2}}{m u-m v} \quad \text { (nuclear energy) }$$

Solve the given problems. Often, the sum of squares cannot be factored, but \(x^{4}+4\) can be factored. Add and subtract \(4 x^{2}\) and then use factoring by grouping.

Reduce each fraction to simplest form. Each is from the indicated area of application. $$\frac{m u^{2}-m v^{2}}{m u-m v} \quad \text { (nuclear energy) }$$

Solve for the indicated letter. Each equation comes from the technical area indicated. \(i_{1} R_{1}=\left(i_{2}-i_{1}\right) R_{2},\) for \(i_{1} \quad\) (electricity: ammeter)

Solve the given problems. Multiply 49 by 51 by writing \((49)(51)=(50-1)(50+1)\) and using one of the special products.

In Exercises \(71-76,\) reduce each fraction to simplest form. Each is from the indicated area of application. $$\frac{16\left(t^{2}-2 t t_{0}+t^{2}\right)\left(t-t_{0}-3\right)}{3 t-3 t_{0}} \quad \text { (rocket motion) }$$

Reduce each fraction to simplest form. Each is from the indicated area of application. $$\frac{16\left(t^{2}-2 t t_{0}+t_{0}^{2}\right)\left(t-t_{0}-3\right)}{3 t-3 t_{0}} \quad \text { (rocket motion) }$$

Solve for the indicated letter. Each equation comes from the technical area indicated. \(n V+n_{1} v=n_{1} V,\) for \(n_{1} \quad\) (acoustics)

Solve the given problems. Multiply 82 by 78 by writing \((82)(78)=(80+2)(80-2)\) and using one of the special products.