Question

Plsss help me need help

Answer 1

Below.

Explanation:

`\large \underline{\textsf {Distributive Property:}}\ \\ormalsize \tex a (b + c + d) = ab + ac + ad}\ \textsf{and } \tex a (b + c) = ab + ac`

`\boldsymbol{\sf A.\ 9\left(4x - 3y -(2)/(3)\right)}`

`\boxed{\begin{minipage}{4.55 cm}\implies \sf 9(4x) + 9(-3y) + 9\left(-(2)/(3)\right)\\\\\implies \sf 36x -27y - (18)/(3)\\\\\implies \boxed{\sf 36x -27y -6}\end{minipage}}`

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`\boldsymbol{\sf B.\ -2(-6x + 3y - 1)}`

`\boxed{\begin{minipage}{4.8 cm}\implies \sf -2(-6x) - 2(3y) - 2(-1)\\\\\implies \boxed{\sf 12x -27y + 2}\end{minipage}}`

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`\boldsymbol{\sf C.\ (1)/(5)(20y-4x-13)}`

`\boxed{\begin{minipage}{4.68 cm}\implies \sf (1)/(5)(20y) + (1)/(5)(-4x) + (1)/(5)(-13)\\\\\implies \sf (20y)/(5)-(4x)/(5)-(13)/(5)\\\\\implies \boxed{\sf -(4)/(5)x+4y-(13)/(5)}\end{minipage}}`

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`\boldsymbol{\sf D.\ 8\left(-x-(1)/(2)\right)}`

`\boxed{\begin{minipage}{3.28 cm}\implies \sf 8(-x) + 8\left(-(1)/(2)\right)\\\\\implies \sf -8x - (8)/(2)\\\\\implies \boxed{\sf 8x - 4}\end{minipage}}`

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`\boldsymbol{\sf E.\ -8\left(-x-(3)/(4)y+(7)/(2)\right)}`

`\boxed{\begin{minipage}{5.4 cm}\implies \sf -8(-x)-8\left(-(3)/(4)y\right)-8\left((7)/(2)\right)\\\\\implies \sf 8x + (24)/(4)y - (56)/(2)\\\\\implies \boxed{\sf 8x + 6y - 28}\end{minipage}}`