For each expression, use the distributive property to write an equivalent expression.4(2x + 3) =6(x + y + z) =

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04-11-2022
Mathematics

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For each expression, use the distributive property to write an equivalent expression.4(2x + 3) =6(x + y + z) =

Sagot :

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BekahG201106 BekahG201106 · Answer 1 · 2022-11-04T01:44:33-04:00

The distributive property of multiplications states allows you to multiply each term on the parentheses term by the constant outside the parentheses, for example:

[tex]a(b+c)=ab+ac[/tex]

To solve

[tex]4(2x+3)[/tex]

You have to multiply each term on the parentheses by 4, that is, multiply 2x by 4 and 3 by 4

[tex]\begin{gathered} 4\cdot2x+4\cdot3 \\ 8x+12 \end{gathered}[/tex]

And you get that the equivalent expression is 8x+12

To solve

[tex]6(x+y+z)[/tex]

You have to multiply the three terms inside the parentheses by 6, so that

[tex]6\cdot x+6\cdot y+6\cdot z=6x+6y+6z[/tex]

The equivalent expression is 6x+6y+6z

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