1 Dados los monomios: A = -5x, B= 20x, C = 2x. calcula lo siguiente: Hallar: a] A + B c) A+C+B b) A-B d) A-C+B
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3 REVIEW AND SUPPORT OBJECTIVE 6 IDENTIFY AND DEVELOP NOTABLE EQUALITIES Name: Course: Check: PRODUCT OF A SUM BY A DIFFERENCE The product of a sum by a difference is equal to the square of the first minus the square of the second: (a + b)? (a - b) = a 2 - b 2 We see that this can be done as a normal multiplication: (a + b)? (a - b) = a 2 - ab + ab + b 2 = a 2 - b 2 (3 x + 2)? (3x - 2) = 9x 2-6x + 6x - 4 = 9x 2-4 (5x - 3y )? (5 x + 3y ) = 25 x xy - 15 xy - 9y 2 = 25 x 2-9y 2 3 Develop the following products. a) (7x + x 4 )? (7x - x 4 ) = b) (y + x 2 )? (y - x 2 ) = c) ( x + x 3 )? ( x x 3 ) = d) (a 4 b )? (a 4 + b) = 4 Expand the products. a) ( x + 5) 2 = b) (2y - 7) 2 = c) (3xy + 2yz )? (3xy - 2yz ) = d) (abc + 1 ) 2 = e) (7-3 x ) 2 = f ) (9v + 2z )? (9v 2z ) = g ) (3 xy + x 3 ) 2 = 5 Expand. a) (4x + 2) 2 - (5x + 1 )? (2 x - 3) = b) ( x + 3) 2 - ( x - 2) 2 = DAY BY DAY IN THE CLASSROOM MATHEMATICS 4. ESO Photocopiable material Santillana Educación, S. L. 167