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Use special cases for multiplying polynomials to identify the product of (2x + 5)²

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Final answer:

The product of (2x + 5)² is 4x² + 20x + 25.


Step-by-step explanation:

To find the product of (2x + 5)², we can use special cases for multiplying polynomials. The special case for squaring a binomial is the FOIL method, which stands for First, Outer, Inner, Last. Applying this, we have:

(2x + 5)² = (2x)² + 2(2x)(5) + 5² = 4x² + 20x + 25.

Therefore, the product of (2x + 5)² is 4x² + 20x + 25.


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