Distributive property: Integer coefficients Use the distributive property to remove the parentheses. \( \quad-5\left(-w^{3}+1-3 x^{2}\right) \)

When using the distributive property, you take the coefficient outside the parentheses and multiply it by each term inside. For the expression \(-5(-w^{3}+1-3x^{2})\), you would distribute \(-5\) to each term within the parentheses: \(-5 \times -w^{3} = 5w^{3}\) \(-5 \times 1 = -5\) \(-5 \times -3x^{2} = 15x^{2}\) So, combining these results gives you \(5w^{3} - 5 + 15x^{2}\). Now, did you know that the distributive property isn't just for numbers? It plays a big role in algebra, allowing us to simplify expressions and solve equations. By understanding how to distribute, you're like a math magician, making complicated expressions simpler with just a flick of your pen! Also, a common mistake with the distributive property is forgetting to apply the negative sign correctly. It's like opening a surprise gift only to find out you missed an important part of the wrapping! Always double-check that you're distributing the sign with the coefficient to each term inside the parentheses.