Question

Subtract $\left(9 x^{2}+16 x-4\right)$ from $\left(2 x^{2}-4 x-9\right)$

   Subtract $\left(9 x^{2}+16 x-4\right)$ from $\left(2 x^{2}-4 x-9\right)$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 55

Instant Answer

Solved by Expert Grace Muhihu

07/28/2020

Step 1

This changes the sign of each term. $$\left(2 x^{2}-4 x-9\right) - \left(9 x^{2}+16 x-4\right) = 2 x^{2}-4 x-9 - 9 x^{2}-16 x+4$$ Show more…

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Subtract $\left(9 x^{2}+16 x-4\right)$ from $\left(2 x^{2}-4 x-9\right)$

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Key Concepts

Combining Like Terms

After distributing any necessary signs, like terms—terms with the same variable raised to the same power—are combined by adding or subtracting their coefficients. This process simplifies the expression to its most reduced form, highlighting the overall changes resulting from the subtraction.

Distributive Property

The distributive property is used to apply a minus sign (or any constant) to every term in a polynomial within parentheses. This step is crucial when subtracting one polynomial from another, as it ensures that the sign of each term is correctly changed before combining like terms.

Polynomial Subtraction

This concept involves subtracting one polynomial from another by taking the difference between corresponding terms. It is an essential skill in algebra where the subtraction operation is applied to expressions involving variables raised to different powers.

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