How do you simplify #3(m-3)+m(5-m)-m^2#?

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How do you simplify #3(m-3)+m(5-m)-m^2#?

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Answer 1 · 2016-11-23T10:39:02

#=-2m^2+8m-9#

Explanation:

Simplifying the algebraic expression is determined by using
#" "#
distributive property.
#" "#
#" "#
Distributive Property:
#" "#
#color(blue)(a(c+d)=axxc + axxd)#
#" "#
#3(m-3)+m(5-m)-m^2#
#" "#
#=color(blue)((3xxm-3xx3)+(mxx5-mxxm)-m^2)#
#" "#
#=3m-9+(5m-m^2)-m^2#
#" "#
#=3m-9+5m-m^2-m^2#
#" "#
#=-m^2-m^2+3m+5m-9#
#" "#
#=-2m^2+8m-9#

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How do you simplify #3(m-3)+m(5-m)-m^2#?

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