Question

представьте в виде произведения: (2a-3c)^2-(4b+5d)^2 ​

Answer 1

$(2a - 3c {)}^{2} - (4b + 5d {)}^{2} = \\( (2a {)}^{2} - 2 \times 2a \times 3c + (3c {)}^{2}) -( (4b {)}^{2} + 2 \times 4b \times 5d + (5d {)}^{2} = \\ (4 {a}^{2} - 12ac + 9 {c}^{2} ) - (16 {b}^{2} + 40bd + 25 {d}^{2} ) = \\ 4 {a}^{2} - 12ac + 9 {c}^{2} - 16 {b}^{2} - 40bd - 25 {d}^{2}$

Answer 2

(2a-3c)^2-(4b+5d)^2=4a^2-12ac+9c^2-16b^2-40bd-25d^2