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(5x+3)^2

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Answer to a math question (5x+3)^2

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Given the expression:

(5x+3)^2

1. Recognize the formula for squaring a binomial:

(a+b)^2 = a^2 + 2ab + b^2

2. Substitute $a = 5x$ and $b = 3$ into the formula:

(5x+3)^2 = (5x)^2 + 2 \cdot (5x) \cdot 3 + 3^2

3. Simplify each term:

(5x)^2 = 25x^2

2 \cdot 5x \cdot 3 = 30x

3^2 = 9

4. Combine all the terms:

25x^2 + 30x + 9

The simplified expression is:

25x^2 + 30x + 9

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(5x+3)^2

Answer to a math question (5x+3)^2

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