Question

"Explain how you can recognize a special product of binomials. Give examples of each type."

(please help i need this done soon :(, thank you)

Answer 1

See below.

Explanation:

1. Difference of 2 squares.

For example x^2 - 4

We recognise this by the fact that x^2 and 4 are perfect squares separated by the negative sign, and the factors are (x + 2) and (x - 2).

In general form this is a^2 - b^2 = (a - b)(a + b).

2. Perfect square trinomial.

This is the product of 2 identical binomials.

For example:

(x + 2)(x + 2) = x^2 + 4x + 4.

We recognise this by the last and 2 terms are perfect squares and the term in x has a coefficient which is 2 times the square root of the last term.

In the above the 4 (in the 4x) = 2*√4.

Answer 2

Answer:Using Them. Example: (y+1)2. We can use the (a+b)2 case where "a" is y, and "b" is 1: Example: (3x−4)2. We can use the (a-b)2 case where "a" is 3x, and "b" is 4: Example: (4y+2)(4y−2) We know the result is the difference of two squares, because: Example: which binomials multiply to get 4x2 − 9.