Question

C =  - 16 +( x - 3 )²

D = 64 + 16y +y²

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Answer 1

  

Answer 2

`C=-16 + (x-3)^2 =(x-3)^2 -16 `

`C = (x-3)^2 -4^2  = (x-3-4)(x-3+4)`

`C =(x-7)(x+1)`

`D =  64 + 16y +y^2 = 8^2 + 2*8*y +y^2`

`D = (8+y)^2`

Answer 3

`C = -16 + (x-3)^2`

`C = (x-3)^2 - 4^2`

`C = (x-3+4)(x-3-4)`

`C = (x+1)(x-7)`

.

`D = 64 + 16y + y^2`

`D = 8^2 + 2.8.y+ y^2`

`D = (8+y)^2`

Answer 4

\(C=-16+\left(x-3\right)^2\)
    \(=-16+x^2-6x+9\)
    \(=x^2-6x-7\)
    \(=x^2-7x+x-7\)
    \(=x\left(x-7\right)+\left(x-7\right)\)
    \(=\left(x+1\right)\left(x-7\right)\)
_________________________
\(D=64+16y+y^2\)
     \(=64+y\left(16+y\right)\)

Answer 5

C= -(4)² + (x-3)²
   = 4² - (x-3)² 
   = (4-x+3)(4+x-3)
D= 64 + 16y + y² 
   = 8² + 2. 8y + y² 

   = (8+y)²

Answer 6

\(C=-16+\left(x-3\right)^2=-16+x^2-6x+9=x^2-6x-7\)

\(D=64+16y+y^2=\left(8+y\right)^2\)

 

Answer 7

C = - 16 + (x - 3)² 

= - 4² + (x - 3)² 

= [- 4 + (x - 3)] [- 4 - (x - 3)]

=  ( 4 + x + 3) (4 - x + 3)

D = - 64 + 16y + y²

= (- 8)² + 2.8.y + y²

= (8 + y)²