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(x+5)(2x-3) Answer

less than a minute read Jun 16, 2024
(x+5)(2x-3) Answer

Expanding the Expression (x+5)(2x-3)

This expression represents the product of two binomials. To find the answer, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last. This method helps us systematically multiply each term in the first binomial with each term in the second binomial.

Let's break it down step-by-step:

  1. First: Multiply the first terms of each binomial:

    • x * 2x = 2x²

  2. Outer: Multiply the outer terms of each binomial:

    • x * -3 = -3x

  3. Inner: Multiply the inner terms of each binomial:

    • 5 * 2x = 10x

  4. Last: Multiply the last terms of each binomial:

    • 5 * -3 = -15

Now, we combine all the terms:

2x² - 3x + 10x - 15

Finally, we simplify by combining like terms:

2x² + 7x - 15

Therefore, the answer to (x+5)(2x-3) is 2x² + 7x - 15.

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