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### MEAP Preparation - Grade 7 Mathematics2.84 Multiplication of two Binomials

 Example: (7x+9y).(6x+7y) = _____ ? Solution: 7x(6x+7y)+9y(6x+7y) = 7x.6x+7x.7y+9y.6x+9y.7y = (7.6)(x.x)+(7.7)(x.y)+(9.6)(y.x)+(9.7)(y.y) = 42x2+49xy+54xy+63y2 In above expression, 49xy and 54xy are like-terms, so we can add them. Therefore, the answer is: 42x2+103xy+63y2 Directions: Solve the following multiplication problems. Also write at least 10 examples of your own.
 Q 1: (x+2y)(7x+9y) = ______ ?x2+6y2+5xy7x2+18y3+23xy7x2+18y2+24xy7x2+18y2+23xy Q 2: (x+2y)(x+3y) = ______ ?x2+6y2+5xyx2+8y2+5xy105x2+14y2+79xyx2+6y2+15xy Q 3: (7x+2y)(15x+7y) = _____ ?105x2+14y2+79xy5x2+7y2+12xy105x2+14y2+70xy105x2+24y2+79xy Q 4: (7x+6y)(6x+3y) = _______ ?42x2+21y2+57xy42x2+18y+57x2y42x2+18y2+57xz42x2+18y2+57xy Q 5: (2x+9y)(3x+4y) = _______ ?6x2+36y2+36xy6x2+36y2+35xy26x2+36y2+35xy6x2+36y3+35xy Q 6: (3x+6y)(x+2y) = ______ ?3x2+12y2+10xy3x2+10y2+12xy3x2+12y2+12xy3x2+12y2+14xy Q 7: (x+6y)(3x+2y) = ______ ?3x2+12y2+20xy3x2+14y2+14xy3x2+12y2+12xy3x2+12y2+12xyz Q 8: (5x+7y)(x+y) = ______ ?12x2+12y2+26xy5x2+7y3+12xy5x2+7y2+10xy5x2+7y2+12xy Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!