91Ó°ÊÓ

In Exercises \(51-62,\) evaluate each polynomial for the given values. $$5 w^{2} v^{3}-w v^{2}-8 v \text { for } w=2, v=-2$$

Multiply out each of the following. As you work out the problems, identify those exercises that are either a perfect square or the difference of two squares. $$(2 a-5)^{2}$$

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$6(a-8)(a+2)$$

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(3 x-5)^{2}$$

Do your computations using scientific notation. If the mass of one atom of iron is \(9.3 \times 10^{-23} \mathrm{gram},\) how many atoms are there in 1 gram?

Do your computations using scientific notation. Atomic measurements or other very small distances are often measured in units called angstroms. One angstrom, which is written \(1 \AA\), is equal to \(0.00000001 \mathrm{cm} .\) Write this number in scientific notation.

Multiply out each of the following. As you work out the problems, identify those exercises that are either a perfect square or the difference of two squares. $$(2 a+5 y)^{2}$$

Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$4 z(3 z-5)(2 z+7)$$

Do your computations using scientific notation. The thickness of a typical cell wall might be 153 A. Write this number in scientific notation.

Multiply out \((x+6)(x+4)\) and \((x-6)(x-4) .\) What is the effect of switching both \(+\) signs to \(-\) signs?