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Chapter 5: Problem 13
Add or subtract as indicated. $$\left(7 x^{4} y^{2}-5 x^{2} y^{2}+3 x y\right)+\left(-18 x^{4} y^{2}-6 x^{2} y^{2}-x y\right)$$
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In Exercises \(79-82,\) simplify each expression. $$\frac{6 x^{3}(3 x-1)+5 x^{2}(6 x-3)}{3 x^{2}}$$
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. If \(5^{-2}\) is raised to the third power, the result is a number between 0 and 1
In Exercises \(79-82,\) simplify each expression. $$\frac{2 x^{3}(4 x+2)-3 x^{2}(2 x-4)}{2 x^{2}}$$
Perform the indicated operations. $$(y+1)\left(y^{2}-y+1\right)-(y-1)\left(y^{2}+y+1\right)$$
Explain the difference between performing these two operations: $$2 x^{2}+3 x^{2} \text { and }\left(2 x^{2}\right)\left(3 x^{2}\right)$$
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