First consider the expression for:

The sum of

and the product of `A`

and `B``x`

.

Now select the answer that matches the following:

plus the quantity of `D`

times that expression`C`

`expr(["+",["*", C,["+",["*", B, "x"], A]], D])`

`expr(["+",["*", -C,["+",["*", B, "x"], A]], D])``expr(["+",["*", -C,["+",["*", A, "x"], B]], D])``expr(["+",["*", D,["+",["*", B, "x"], -A]], C])``expr(["+",["*", D,["+",["*", A, "x"], -B]], C])`

What is the product of

and `B``x`

?

What is the sum of

and `A`

?`expr(["*", B, "x"])`

What is the quantity of

times that expression?`C`

What is

plus `D``\color{orange}{`

?`expr(["*", C,["+",["*", B, "x"], A]])`}

the sum of

and the quantity of `A`

times `B``x`

plus the product of `D`

and that expression`C`

What is the quantity of

times `B``x`

?

What is the sum of

and `A`

?`expr(["*", B, "x"])`

What is the product of

times that expression?`C`

What is

plus `D``\color{orange}{`

?`expr(["*", C,["+",["*", B, "x"], A]])`}

plus the product of `A`

and `B``x`

**Take the quantity of **

What is the product of

and `B``x`

?

What is

plus `A`

?`expr(["*", B, "x"])`

What is the quantity of

times that expression?`C`

What does adding

to `D``\color{orange}{`

do?`expr(["*", C,["+",["*", B, "x"], A]])`}

plus the quantity of `A`

times `B``x`

**Take the product of **

What is the quantity of

times `B``x`

?

What is

plus `A`

?`expr(["*", B, "x"])`

What is the product of

times that expression?`C`

What does adding

to `D``\color{orange}{`

do?`expr(["*", C,["+",["*", B, "x"], A]])`}

Take the product of

and `B``x`

and add

.`A`

**The sum of **

What is the product of

and `B``x`

?

What does adding

to `A`

do?`expr(["*", B, "x"])`

What is the quantity of

times that expression?`C`

What is the sum of

and `D``\color{orange}{`

?`expr(["*", C,["+",["*", B, "x"], A]])`}

Take the quantity of

times `B``x`

and add

.`A`

**the sum of **

What is the quantity of

times `B``x`

?

What does adding

to `A`

do?`expr(["*", B, "x"])`

What is the product of

times that expression?`C`

What is the sum of

and `D``\color{orange}{`

?`expr(["*", C,["+",["*", B, "x"], A]])`}

Let's break this problem into smaller and easier pieces.

`B` \times x = \color{orange}{`expr(["*", B, "x"])`}

`B`x`{} + `

`A`

`C` \times (`B`x + `A`) = \color{orange}{`expr(["*", C,["+",["*", B, "x"], A]])`}

`expr(["*", C,["+",["*", B, "x"], A]])``{} + `

`D`

So the entire expression we're considering can be written as

.`expr(["+",["*", C,["+",["*", B, "x"], A]], D])`