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