Question 553627
Given:
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{{{-5(x^3-3x^2+4x+6)}}}
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Just multiply -5 times each of the terms inside the parentheses. I think what might be confusing you is the signs. So, until you get used to the process, it might be helpful to think of this problem in the following form:
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{{{-5*(+(x^3)+(-3x^2)+(+4x)+(+6))}}}
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Now just multiply out the expression by inserting the -5 multiplier for each term in parentheses as follows:
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{{{(-5)*(x^3) + (-5)*(-3x^2) + (-5)*(4x) + (-5)(6)}}}
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Then do the multiplications to get:
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{{{-5x^3 + (15x^2) + (-20x) + (-30)}}}
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and this simplifies to:
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{{{-5x^3 + 15x^2 -20x -30)}}}
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But the shorter and quicker way would be to verbally say the following
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-5 times x cubed is -5x^3
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then say -5 times -3x^2 is +15x^2
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then say -5 times 4x is -20x
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and finally say -5 times 6 is -30
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Then put these four answers together to get the overall answer of:
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-5x^3 +15x^2 - 20x - 30
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I hope this helps a little bit to clarify things for you. 
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