Question

Спростіть вираз (2а+3b)²-4a(a-6b)²

Answer 1

Ответ:

$(2а+3b)²-4a(a-6b)² = 4 {a}^{2} + 12ab + 9b {}^{2} - 4a( {a}^{2} - 12ab + 36 {b}^{2} ) = 4 {a}^{2} + 12ab + 9b {}^{2} - 4 {a}^{3} + 48ab - 144a {b}^{2} = 4 {a}^{2} - 4 {a}^{3} + 60ab + 9 {b}^{2} + 9 {b}^{2}$