Question

a square + 18 A + 65 by using splitting middle term​

Answer 1

hope it helps

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Answer 2

Hey Buddy !☺

$let \: p(x) = {a}^{2} + 18a + 65 \\ \\ \therefore \: \: \: p(x) = {a}^{2} + 18a + 65 \\ = {a}^{2} + 13a + 5a + 65 \\ = {a}(a + 13) + 5(a + 13) \\ = (a + 5)(a + 13) \\ \\ = > p(x) = (a + 5)(a + 13) \\ \\ now \: put \: p(x) = 0 \\ \\ \therefore \: (a + 5)( a+ 13) = 0 \\ = > (a + 5) = 0 \: \: \: or \: \: \: (a + 13) = 0 \\ = > \fbox{a = - 5 \: \: \: or \: \: \: a = - 13}$