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IDENTIDADES NOTABLES Actividad original por: Andrés Jobacho RECUERDA: (X + 5)2 = X2 + 10X + 25 (2X + 3)2=( )2 + 2·2X· + 9 = (a + b)2 = a2 + 2ab + b2 2X ? 3 ? 4X2 ? + + 24X ? 9 ? (4x + 10y)2 = (2x+10y) = 4x 16x2 ( )2 + + 2. 4x. 10y + ( )2 100y + 100y 2 ? (3x + 5y)2 = 9x2 ( )2 + + 2. 3x. 5y + ( )2 +25y 2 ? (10x + 5y)2 = ( )2 100x2 + 2. 10x. 5y + ( )2 + + 25y 2 ? RECUERDA: (a - b)2 = a2 - 2ab + b2 (3 - y2)2 = 9 - 6y2 + y4 (z3 - 2y)2 = ( )2+2· z3· + 4y2 = z3 ? 2y ? z6 ? - + 4z3y ? 4y2 ? (6x - 5y)2 = ( )2 36x2 - - 2. 6x. 5y + ( )2 +25y2 (2x - 8y)2 = ( )2 4x 2 ? - ? - 2. 2x. 8y + ( )2 + 64y2 (7x - 5y)2 = ( )2 49x2 - 2. 7x. 5y + ( )2 - +25y 2 ? RECUERDA: (X+2)(X-2) = X2 - 4 (a+b)(a-b) = a2 - b2 (2x + 1) (2x - 1) = ( )2 - 12 = 4x2 - (7x-5y)·(7x+5y) = 49x2 - 2 ? (6 + z) ( 6 - z) = 36 - 2 ? (3x + 7) (3x - 7) = ( )2 = 9x2 - 49 - |