Expand $(2a + 3b)(2a - 5b)$.

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(N/A) To expand the expression $(2a + 3b)(2a - 5b)$,we use the distributive property ($FOIL$ method):
$1$. Multiply the first terms: $(2a) \times (2a) = 4a^2$.
$2$. Multiply the outer terms: $(2a) \times (-5b) = -10ab$.
$3$. Multiply the inner terms: $(3b) \times (2a) = 6ab$.
$4$. Multiply the last terms: $(3b) \times (-5b) = -15b^2$.
Combining these results: $4a^2 - 10ab + 6ab - 15b^2$.
Finally,simplify the middle terms: $-10ab + 6ab = -4ab$.
Thus,the expanded form is $4a^2 - 4ab - 15b^2$.

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