(2x+5)(2x-5) Expand

Suzhoumeite

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Jul 03, 2024

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Expanding (2x+5)(2x-5)

In this article, we will learn how to expand the algebraic expression (2x+5)(2x-5). Expanding an algebraic expression means to multiply the terms inside the parentheses and simplify the result.

Step 1: Multiply the Terms

To expand the expression, we need to multiply the terms inside the parentheses. We can do this by multiplying each term in the first parentheses with each term in the second parentheses.

(2x+5)(2x-5) = ?

• Multiply 2x with 2x to get 4x^2
• Multiply 2x with -5 to get -10x
• Multiply 5 with 2x to get 10x
• Multiply 5 with -5 to get -25

Step 2: Simplify the Expression

Now, we need to simplify the expression by combining like terms.

4x^2 - 10x + 10x - 25

• Combine like terms: -10x + 10x = 0 (because they cancel out)
• Simplify the expression: 4x^2 - 25

Therefore, the expanded form of (2x+5)(2x-5) is 4x^2 - 25.

Conclusion

In this article, we have learned how to expand the algebraic expression (2x+5)(2x-5) by multiplying the terms inside the parentheses and simplifying the result. The final answer is 4x^2 - 25.