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

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

What is the simplified form of (4p – 2)(p – 4)?

4p2 + 6p – 16

4p2 – 18p + 8

4p2 – 14p – 6

4p2 – 6p + 16

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.

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)

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boffeemadrid boffeemadrid · Answer 2 · 2019-02-20T01:14:22-05:00

Answer:

Step-by-step 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