Question

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width
of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters.
(x − 4)(3x − 1)
Which of the following simplified expressions represents the area of the floor of the conference room in
square meters?
Can you walk me through it?

Answer 1

\[(x − 4)(3x − 1)=x (3x − 1)− 4(3x − 1)\\\qquad\qquad\qquad=x(3x)+x(-1)-4\times(3x)-4(-1)\\\qquad\qquad\qquad=\]

Answer 2

3x^2-x-4*3x+4= -x*7=-7x?

Answer 3

you've got this bit right \[=3x^2-x-(4\times3)x+4\\=\]

Answer 4

oh I didnt know the 4 and 3 were in perenthisies

Answer 5

3x-12x^2+4?

Answer 6

\[=3x^2-x-12x+4\\=3x^2-(1+12)x+4\\=\]

Answer 7

3x^2-13x+4?

Answer 8

yeah , thats it !

Answer 9

Oh thank you! Could you help me with one more?

Answer 10

sure

Answer 11

A glass cylinder is completely filled with 32m6n
2
cubic inches of salt solution. The jug has a base
area of 8m3n
2
square inches. The height of the jug, in inches, is represented by the expression 32m^6n^2/8m^3n^2.
Which of the following simplified expressions represents the height of the jug in inches?

Answer 12

\[\frac{32m^6n^2}{8m^3n^2}\]

Answer 13

\[\frac{x^ny^m}{x^py^q}=x^{n-p}y^{m-q}\]

Answer 14

I cant read whats by the x and y

Answer 15

\[\Large\frac{x^ny^m}{x^py^q}=x^{n-p}y^{m-q}\]

can you read it now?

Answer 16

yes sorry about that.

Answer 17

but what do I do with that?

Answer 18

well in your case

\[\frac{32m^6n^2}{8m^3n^2}=\frac{32}8m^{6-3}n^{2-2}=\]

Answer 19

@UnkleRhaukus
Sorry my computer went all bonkers. Can you still help me?

Answer 20

can you see the first step i have made?
(6-3)=
now you can simplify those indicies...