Question

c2-25
9b2-36c2
X2-4y2
81b2-36c2
(a+36)2
(2m-5n)2
(8x+3y)2
(7c-4a)2
(10d-2m)2
Двойка если что это квадрат

Answer 1

${c}^{2} - 25 = {c}^{2} - {5}^{2} = (c - 5)(c + 5) \ 9 {b}^{2} - 36 {c}^{2} = 9( {b}^{2} - 4 {c}^{2} ) = 9( {b}^{2} - {(2c)}^{2} ) = 9(b - 2c)(b + 2c) \ {x}^{2} - 4 {y}^{2} = {x}^{2} - {(2y)}^{2} = (x - 2y)(x + 2y) \ 81{b}^{2} - 36 {c}^{2} = 9(9 {b}^{2} - 4 {c}^{2} ) =9( {(3b)}^{2} - {(2c)}^{2}) = 9(3b - 2c)(3b + 2c) \ {(a + 36)}^{2} = {a }^{2} + 2 times 36a + {36}^{2} = {a}^{2} + 72a + 1296 \ (2m - 5n)^{2} = {(2m)}^{2} - 2 times 2m times 5n + {(5n)}^{2} = 4 {m}^{2} - 20mn + 25 {n}^{2} \ {(8x + 3y)}^{2} = {(8x)}^{2} + 2 times 8x times 3y + {(3y)}^{2} = 64 {x}^{2} + 48xy + 9 {y}^{2} \ {(7c - 4a)}^{2} = {(7c)}^{2} - 2 times 7c times 4a + {(4a)}^{2} = 49 {c}^{2} - 56ac + 16 {a}^{2} \ {(10d - 2m)}^{2} = {(2(5d - m))}^{2} = 4 times {(5d - m)}^{2} = 4 times ( {(5d)}^{2} - 2 times 5d times m + {m}^{2} ) = 4 times (25 {d}^{2} - 10dm + {m}^{2} )$