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use the FOIL system First, Outside, Inside, Last. when you see this (x -2)(5x -7) multiply the numbers that appear first in each system. in this case x and 5x. When multiplying variables simply raise the power. x times 5x = 5x^2. Then you multiply the two outside numbers in this case x and -7. which equals -7x. Then the inside numbers in the same manner. -2 and 5x equals -10x. and then the numbers that appear last in each system. -7 and -2 which equals +14. Finally add all the terms. 5x^2 + -10x + -7x + 14 = 5x^2 -17x +14

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