• 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

Ответы 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} )
    • Автор:

      ronin
    • 6 лет назад
    • 0
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