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simplify the following expression. \\(2x - 3)(x + 5)\\ \\?x^2 + \\quadx…

Question

simplify the following expression.

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

\\?x^2 + \quadx + \quad\\

Explanation:

Apply the distributive property

Using the Distributive Property knowledge point

$$ (2x - 3)(x + 5) = 2x(x + 5) - 3(x + 5) $$

Expand the terms

Using the Algebraic Simplification knowledge point

$$ 2x(x + 5) - 3(x + 5) = 2x^2 + 10x - 3x - 15 $$

Combine like terms

Using the Combining Like Terms knowledge point

$$ 2x^2 + (10x - 3x) - 15 = 2x^2 + 7x - 15 $$

Answer:

Simplify the following expression.

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

<blank>\(2\)</blank>\(x^2 +\) <blank>\(7\)</blank>\(x +\) <blank>\(-15\)</blank>