Question

Упростите выражение: (х-2)(х+2) - (х-5)^2 и выражение: (а+6)^2 - (а-2)(а+2)

Answer 1

1)
$(x - 2)(x + 2) - (x - 5)(x - 5) = \\ = {x}^{2} - 4 - ( {x}^{2} - 10x + 25) = \\ = {x}^{2} - 4 - {x}^{2} + 10x - 25 = \\ = 10x - 29$
2)
$(a + 6)(a + 6) - (a - 2)(a + 2) = \\ = {a}^{2} + 12a + 36 - ( {a}^{2} - 4) = \\ = {a}^{2} + 12a + 36 - {a}^{2} + 4 = \\ = 12a + 40$