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Magazine Problem 78
Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(y-6)(y-1)-(y-3)(y-5)$$
Problem 79
Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(x-6)^{2}-(x+6)^{2}$$
Problem 79
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$\frac{\left(2 m^{-2} n^{-3}\right)^{-4}}{\left(m^{-6} n^{-1}\right)^{-2}}$$
Problem 79
In Exercises \(76-79,\) solve for \(x\) $$4(x-1)-3 x=x-4$$
Problem 80
Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(2 x-3)^{2}-(2 x+3)^{2}$$
Problem 80
Perform the indicated operations and simplify. $$\frac{a}{3}-\frac{a}{2}+\frac{a}{5}$$
Problem 80
perform the indicated operation and simplify. $$\frac{x}{3}-\frac{x}{4}$$
Problem 80
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$\frac{\left(3 m^{-4} n^{-1}\right)^{-2}}{\left(m^{-2} n^{-1}\right)^{-3}}$$
Problem 81
Multiply and simplify each of the following. Whenever possible, do the multiplication of two binomials mentally. $$(2 x-3)^{3}$$
Problem 81
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$\frac{\left(x^{5} y\right)^{-2}\left(x^{-2} y^{3}\right)^{2}}{\left(x^{-3} y^{-4}\right)^{-2}}$$
