examples using distribution property
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Answers:-3x(2xy + 3y - 2x) (-3x)(2xy) + (-3x)(3y) + (-3x)(-2x) -6x^2y - 9xy + 6x^2 After you distribute the terms, try leaving the signs blank. Look back at the terms you've multiplied and/or divided and if you have an even number (2, 4, 6,..) of negatives, your answer will be positive. If you have an odd number (1, 3, 5,..) of negatives, your answer will be negative.
Answers:-2x(4xy+3y-1) -2x(4xy) =-8 x squared y -2x(3y)= -6xy -2x(-1)= 2x -8x squared y minus 6xy plus 2x is the answer. Students make errors because they don't have a good method of doing it. They try to start negative and count toward zero. All you have to do is master the signs. My advice is if you have 2 negatives the answer is positive. One negative and one positve is always negative positive and positive is always positive (in multiplication)
Answers:-3x(2xy + 3y 2x) ___________________ -3x times 2xy = -6x^2y -3x time 3y = -9xy -3x time -2x = 6x^2 Answer: -6x^2y-9xy+6x^2 positive times positive = positive negative times negative = positive positive times negative = negative
Answers:I'll use your example: First Step : Distribute -3x to the three terms -3x(2xy) + -3x(3y) + -3x(-2x) = -6x ^2y + -9xy + 6x^2 Then, that is pretty much it since it is already simplified. There might be a certain order it has to be in, but i don't remember Sorry :( If you have trouble multiplying it still, look at it like this : (-3 * x * 2 * x * y) + (-3 * x * 3 * y) + (-3 * x *-2 * x) ALSO : -remember that a negative number multiplied by a negative number is a positive number -and a negative number multiplied by a positive number is a negative number Sorry that this is like a day later than posted, so it might be useless, but hope that helps :)