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### Grade 7 - Mathematics4.33 Multiplication of Two Binomials (Horizontal Method)

 Procedure: To multiply (a+b) and (c+d), think of (c+d) as a single number say 'x'. \(a+b)(c+d) = (a+b)x = ax+bx ......(Right Distributive Property) Substituting value of x, we get = a(c+d)+b(c+d) = ac+ad+bc+bd .....(Left Distributive Property) \(a+b)(c+d) = ac+ad+bc+bd Example: Find the Product of (5x+1) and (6y-2). Solution: Think of (6y-2) as a single number say 'a' (5x+1)a = 5x.a+1.a Substituting value of 'a', we get 5x(6y-2) + 1.(6y-2) 30xy-10x+6y-2. Directions: Solve the following multiplication problems. Also write at least ten examples of your own.
 Q 1: (7x+1)(6y-3) = _____?42xy-21x-6y-342xy+21x+6y-342xy-21x+6y-3 Q 2: (7x+5)(5y+7) = _____?35xy+49x+25y+3535xy+45x+25y+3535xy+49x+22y+35 Q 3: (11x+1)(4y+5) = _____?44xy+55x+14y+544xy+50x+4y+544xy+55x+4y+5 Q 4: (15x+3)(4y-1) = _____?60xy+15x+12y-360xy-15x+12y-360xy-15x-12y-3 Q 5: (15x+2)(9y+3) = _____?135xy+45x+18y+6135xy+46x+38y+6135xy+45x+35y+6 Q 6: (17x+9)(4y+7) = _____?68x+119x+36y+6368x+119x+34y+6368x+129x+36y+63 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!