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To expand and simplify the expression (5x + 2)(2x - 3), you can use the distributive property (also known as FOIL, which stands for First, Outer, Inner, Last).
(5x + 2)(2x - 3) can be expanded as follows:
First: (5x)(2x) = 10x^2
Outer: (5x)(-3) = -15x
Inner: (2)(2x) = 4x
Last: (2)(-3) = -6
Now, add these terms together:
10x^2 - 15x + 4x - 6
Combine like terms:
10x^2 - 15x + 4x - 6 = 10x^2 - 11x - 6
So, the expanded and simplified expression is 10x^2 - 11x - 6.
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