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### Grade 7 - Mathematics4.31 Multiplication of Two Binomials - Using a Table

Example: Find the product of (x-4) and (3x+2).
Solution:
1. Write subtraction as addition in each polynomial. (x-4)(3x+2) = [x + (-4)](3x+2)
2. Make a table of products
 3x 2
 x -4
 3x2 --- --- ---

 3x 2
 x -4
 3x2 2x -12x -8
3. The product is 3x2 + 2x - 8, or 3x2 - 10x - 8

Example: Find the product of (5x-3) and (6x+5).
Solution: (5x-3)(6x+5) = (5x-3).6x + (5x-3).5
= 30x2-18x+25x-15
= 30x2+7x-15.

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: (x+5).(x+2) = _____?x2+7x-102x2+7x+10x2+7x+10 Q 2: (x-5).(x+2) = _____?x2-3x+10x2-3x-105x2-3x-10 Q 3: (9x-9).(2x-5) = _____?18x2-63x+5018x2-63x+4510x2-63x+45 Q 4: (4x-2).(4x-5) = _____?16x2-28x+106x2-28x+1016x2-18x+10 Q 5: (x+9).(3x-5) = _____?3x2-22x+453x2+20x-453x2+22x-45 Q 6: (x-2).(x+1) = _____?x2+x-2x2-x-2x2-x+2 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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