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91Ó°ÊÓ

Find each product. $$\left(4 x^{2}+5 x\right)\left(4 x^{2}-5 x\right)$$

Short Answer

Expert verified
The product of the two given expressions is \(16 x^{4} - 25 x^{2}\)

Step by step solution

01

Identify the Expressions to be Multiplied

The two expressions given are \(4 x^{2}+5 x\) and \(4 x^{2}-5 x\)
02

Apply the Distributive Property

Next, distribute each term in the first expression by each term in the second expression to get the expanded product. The result is \(16 x^{4} - 20 x^{3} + 20 x^{3} - 25 x^{2}\).
03

Simplify the Result

Combine like terms: \(16 x^{4} - 25 x^{2}\)

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