Question

What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property.

2x2 – x – 6
2x2 – 6
2x2 – 7x – 6
2x2 + x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.
12x2 + 18x + 6
12x2 + x – 6
12x2 + 18x – 6
12x2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)?
4p2 + 6p – 16
4p2 – 18p + 8
4p2 – 14p – 6
4p2 – 6p + 16
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.

Answer 1

Explanation:

A. The given equation is:

`(x-2)(2x+3)`

simplifying this,

`2x^(2)-4x+3x-6`

`2x^(2)-x-6`

Option A is correct

B. The given equation is:

`(3x+2)(4x-3)`

simplifying this,

`12x^(2)+8x-9x-6`

`12x^(2)-x-6`

Option D is correct.

C. The given equation is:

`(4p-2)(p-4)`

simplifying this,

`4p^2-2p-16p+8`

`4p^2-18p+8`

Option B is correct.

D. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. Then,

Surface area of cylinder=
`2r^(2)+2rh`

=
`2r(r+h)`

=
`2(3x-2)(3x-2+x+3)`

=
`2(3x-2)(4x+1)`

=
`2(12x^(2)-8x+3x-2)`

=
`24x^(2)-10x-4`

Therefore, Surface area of cylinder=
`24x^(2)-10x-4` sq units

Answer 2

1) (x – 2)(2x +3) = 2x²+3x-4x -6
the answer is 2x² – x – 6
2) (3x + 2)(4x – 3) =12x²-9x +8x -6
the answer is 12x2 – x – 6
3) (4p – 2)(p – 4) = 4p²-16p-2p+8
the answer is 4p2 – 18p + 8
4) since A = 2r2 + 2rh
so A = 2(3x – 2)² + 2(3x – 2)(x + 3)
= (3x – 2) ( 2(3x – 2) + 2 (x + 3))
A =(3x – 2) ( 10x+2)