How do you simplify $3 (6 m + 3) + 8 (m + 6) + 9 (4 m + 5)$ $3(6m+3)+8(m+6)+9(4m+5)$ ?

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Answer 1 · 2018-04-08T12:43:39

$62 m + 102$ $62m+102$

$3 (6 m + 3) + 8 (m + 6) + 9 (4 m + 5)$ $3(6m+3)+8(m+6)+9(4m+5)$

First, distribute the numbers outside the braces to the numbers inside:

$18 m + 9 + 8 m + 48 + 36 m + 45$ $18m+9+8m+48+36m+45$ (Combine like terms)

$62 m + 102$ $62m+102$

Answer 2 · 2018-04-08T12:53:23

Using the Distributive Property: $a (b + c) = a b + a c$ $color(red)(a(b+c)=ab +ac)$

$3 (6 m + 3) + 8 (m + 6) + 9 (4 m + 5) = 62 m + 102$ $color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102$

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Given:

$3 (6 m + 3) + 8 (m + 6) + 9 (4 m + 5)$ $color(blue)(3(6m+3)+8(m+6)+9(4m+5)$

Distributive Property removes the brackets (parentheses) used by bringing a multiplication from outside to inside the parentheses.

$\Rightarrow (18 m + 9) + (8 m + 48) + (36 m + 45)$ $rArr (18m+9)+(8m+48)+(36m+45)$

Combine the like terms to simplify:

$\Rightarrow (18 m + 8 m + 36 m) + (9 + 48 + 45)$ $rArr (18m+8m+36m)+(9+48+45)$

$\Rightarrow 62 m + 102$ $rArr 62m+102$

Hence,

$3 (6 m + 3) + 8 (m + 6) + 9 (4 m + 5) = 62 m + 102$ $color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102$

Hope it helps.

How do you simplify 3(6m+3)+8(m+6)+9(4m+5)3(6m+3)+8(m+6)+9(4m+5)?