Simplify (x -3)(x + 7) using the table method, and identify the resulting

The simplified form of given expression is .

Step-by-step explanation:

The given expression is

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

Therefore the simplified form of given expression is .

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180