Question

Expand or factor each of the following expressions to determine which expressions are equivalent.
(3.3 + 5)(31
4)
27.13 - 8
9.12 + 3.1 - 20
(4.1 – 3y)?
(3.1
2) (9x2 + 61 + 4)
(3.1 – 4y)?
9x2 - 245y + 16y2
(3x + 2)(9x2 - 6x + 4)

Answer 1

Answer:

Please see explanation.

Step-by-step explanation:

$(3x+5)(3x-4)=9x^2+3x-20$

$27x^3-8=(3x-2)(9x^2+6x+4)$

$(3x-4y)^2=9x^2-24xy+16y^2$

Answer 2

Answer:

1. (3x+5)(3x-4) = 9x^2 + 3x - 20

2. (3x-4y)^2 = 9x^2 - 24xy + 16y^2

3. (3x-2)(9x^2+6x+4) = 27x^3 - 8

Step-by-step explanation:

1. (3x+5)(3x-4)

3x · 3x = 9x^2

3x · -4 = -12x

5 · 3x = 15x

5 · -4 = -20

9x^2 - 12x + 15x - 20 = 9x^2 + 3x - 20

2. (3x-4y)^2 = (3x-4y)(3x-4y)

3x · 3x = 9x^2

3x · -4y = -12xy

-4y · 3x = -12xy

-4y · -4y = 16y^2

9x^2 - 12xy - 12xy + 16y^2 = 9x^2 - 24xy + 16y^2

3. (3x-2)(9x^2+6x+4)

3x · 9x^2 = 27x^3

3x · 6x = 18x^2

3x · 4 = 12x

-2 · 9x^2 = -18x^2

-2 · 6x = -12x

-2 · 4 = -8

27x^3 + 18x^2 + 12x - 18x^2 - 12x - 8 = 27x^3 - 8