Question 167628: How do you use the Distributive property to write an expression as an
equivalent expression
example:6(n+5) or -2(k+8) please help thank you Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website! 6*(n+5) = (6*n) + (6*5) = 6n + 30
-2*(k+8) = (-2*k) + (-2*8) = -2k - 16
these are equivalent expressions that are equal to each other.
the distributive property states:
a*(b+c) = (a*b) + (a*c) = ab + ac
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the common multiplier (a) multiplies each term within the parentheses (b+c)
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the complicating factor is the signs of the operands.
you just have to remember:
minus times a minus makes a plus.
minus times a plus makes a minus.
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any number of operands can exist within the parentheses.
example:
a*(b+c+d+e) = (a*b) + (a*c) + (a*d) + (a*e)
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(