Question

factorize (a+5)^2+(9-5)^2-25​

Answer 1

$(a + 5) {}^{2} + (9 - 5) {}^{2} - 25 \\ = {a}^{2} + 25 + 10a + 16 - 25 \\ {a}^{2} +10a + 16 \\ = {a}^{2} + 8a + 2a + 16 \\ = a(a + 8) + 2(a + 8) \\ = (a + 2)(a + 8)$