(6x+7) (3x-1) - (5x+3) (2x+1)

8x² + 4x - 10

Step-by-step explanation:

     We will use the order of PEMDAS to solve

-> See attached

(6x+7) (3x-1) - (5x+3) (2x+1)

   (6x+7) (3x-1) becomes 18x² - 6x + 21x - 7 which is equal too 18x² + 15x - 7

   (5x+3) (2x+1) becomes 10x² + 6x + 5x + 3 which is equal too 10x² + 11x + 3

(18x² + 15x - 7) - (10x² + 11x + 3)

   18x² - 10x² = 8x²

   15x - 11x = 4x

   -7 - 3 = -10

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.