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Chapter 5: Problem 37

Find each product. $$-b\left(a^{2}-a b+b^{2}\right)$$

Short Answer

Expert verified
The product is \(-ba^{2} + ab^{2} - b^{3}\).

Step by step solution

01

Apply the Distributive Property

Distribute \(-b\) into the expression inside brackets \(a^{2}-ab+b^{2}\). This will give: \(-b*a^{2} + (-b)*(-ab) + (-b)*b^{2}\).
02

Perform the Multiplications

Do the multiplication for each term: \(-b*a^{2} = -ba^{2}\), \(-b*(-ab) = ab^{2}\), and \(-b*b^{2} = -b^{3}\).
03

Combine all Products

Now, combine these terms into one expression to get the final result: \(-ba^{2} + ab^{2} - b^{3}\).

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Most popular questions from this chapter

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In Exercises \(79-82,\) simplify each expression. $$\frac{2 x^{3}(4 x+2)-3 x^{2}(2 x-4)}{2 x^{2}}$$
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