Drag the tiles to the correct boxes to complete the pairs.

match each expression to its equivalent form.
tiles
(x + 4)(x − 4)
(x + 2y)(x2 − 2xy + 4y2)
4x2 + 12xy + 9y2
8x3 + 12x2 + 6x + 1
pairs
x2 − 16

(2x + 1)3

(2x + 3y)2

x3 + 8y3

1. A

2. D

3. C

4. B

Step-by-step explanation:

Use formulas:

Then

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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step-by-step explanation: