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Chapter 0: Problem 43
Factor the difference of two squares. $$9 x^{2}-25 y^{2}$$
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Insert either < or > in the shaded area between the numbers to make the statement true. $$-\pi \quad-3.5$$
In parts (a) and (b), complete each statement. $$ \text { a. } \frac{b^{7}}{b^{3}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b \cdot b}=b^{?} $$ $$ \text { b. } \frac{b^{8}}{b^{2}}=\frac{b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b \cdot b}{b \cdot b}=b^{?} $$ c. Generalizing from parts (a) and (b), what should be done with the exponents when dividing exponential expressions with the same base?
Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{2}+\frac{2}{3}$$
Will help you prepare for the material covered in the next section. A. Find \(\sqrt{16} \cdot \sqrt{4}\) B. Find \(\sqrt{16 \cdot 4}\) C. Based on your answers to parts (a) and (b), what can you conclude?
Factor Completely. $$x^{4}-10 x^{2} y^{2}+9 y^{4}$$
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