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)(x^2 − 2xy + 4y^2)
4x^2 + 12xy + 9y^2
8x^3 + 12x^2 + 6x + 1
pairs
x^2 − 16

(2x + 1)^3

(2x + 3y)^2

x^3 + 8y^3

Step-by-step explanation:

Algebraic Operations

Performing some basic algebraic operations we can transform expressions into others which could be more convenient to handle. For example, a polynomial can be factored for future simplifications or conclusions about its roots.

We have the following expressions and its operations to make them look like their equivalents

1.

We use the notable or special product to simplify:

2.

Performing the indicated products

Simplifying

3.

This is the square of a binomial. We find the square root of the first and last terms, then we test the second to be double of their product

Since all the terms are correct, we can express it like

4.

This is the cube of a binomial. Let's find the cubic root of the first and last term

The binomial is (2x+1). To prove it's correct, let's expand

Thus, the expressions must be matched like this

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

5+2x=a

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