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Use the distributive property to simplify the expression.

-6(2²+3)-2(1²-2)

A. 4² +22

B. 4:² +14

C. -8²-22

D. -8:²-14


Sagot :

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

Given:

  • [tex]\bold{-6(2^2+3)-2(1^2-2)}[/tex]

[tex]\\[/tex]

The [tex]\mathrm{distributive \: property}[/tex] states that an expression that is given in the form of [tex]\small\sf{ A(B + C)}[/tex] can be solved as [tex]\small\sf{A \times (B + C) = AB + AC}[/tex] . So:

[tex]\small\longrightarrow\sf{-24-18-2+4}[/tex]

[tex]\small\longrightarrow\sf{-42+2}[/tex]

[tex]\large\tt{All \: \: options \: \: are \: \: wrong}[/tex]

[tex]\\[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\small\longrightarrow\sf{−6 (2^2+3) − 2 (1^2 - 2) = \underline{-6(4+3)}}[/tex]