Question

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

Answer 1

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

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

= 2x^2 + 3x - 4x - 6

= 2x^2 - x - 6

Answer

2x^2 -  x – 6

2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.  

        |       3x                   2

--------|-----------------------------------------

4x     |     12x^2               8x

--------|---------------------------------------------

-3      |     -9x                   -6

---------------------------------------------------------Add

12x^2 + 8x - 9x - 6

= 12x^2 -x - 6

Answer

12x^2 – x – 6

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

(4p – 2)(p – 4)

= (4p)(p) - (4p)(4) - (2)(p) - (2)(-4)

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

= 4p^2 - 18p + 8

Answer

4p^2 – 18p + 8

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.

A = 2r2 + 2rh

A = 2( 3x – 2)^2  + 2 (3x – 2)(x + 3 )

A = 2(9x^2 - 12x + 4) + 2(3x^2 + 7x - 6)

A = 18x^2 - 24x + 8 + 6x^2 + 14x - 12

A = 24x^2 - 10x - 4

Answer

A = 24x^2 - 10x - 4