Answer:

Squaring of Binomial

Step 1 Square the first term of the binomial.

Step 2 Multiply the first term and last term of the binomial together and then double that quantity (in other words multiply by 2).

Step 3 Square the last term of the binomial.

Example:

(x+6)²

First term= x² is the square of x

Second term= (x · 6 = 6x. Twice that is 12x.)

Third term = 36 is the square of 6.

x² + 12x + 36 is called a perfect square trinomial -- which is the square of a binomial.

Square of Trinomial

To square a trinomial, we use the following formula:

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ac)

In a longer cut:

Step 1 Multiply the first term of the first factor by each of the terms in the second factor.

Step 2Multiply the second term of the first factor by each of the terms in the second factor.

Step 3 Continue this pattern for each of the terms in the first factor, then add up all of the products.

Cube of Binomial

It's formula:

(a + b)3 = a3 + 3a2b + 3ab2 + b3

= a3 + 3ab (a + b) + b3

To cube a binomial, multiply it times itself three times. This will require a two step process.

Step 1: Multiply the first two factors.

Step 2: Multiply your answer by the third factor.

Give an example of two binomial and find the product.

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.