Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?

-x²+3x-8

Step-by-step explanation:

Given polynomials are :

f(x) = (x+2)²

p(x) = 7x−4

We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.

p(x) - f(x) = 7x−4 - (x+2)²

We know that, (a+b)² = a²+b²+2ab

So,

p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))

= 7x−4 -(x²+4+4x)

= 7x−4-x²-4-4x

= -x²+3x-8

Hence, the result will be -x²+3x-8.

x-2y = -12

Step-by-step explanation:

Standard form of a line is in the form Ax + By = C   where A is a positive integer

y − 3 = 1/2(x + 6)

Multiply each side by 2 to eliminate the fractions

2(y-3)= 1/2*2 (x+6)

Distribute

2y -6 = x+6

Subtract x from each side

-x +2y -6 = x-x +6

-x+2y -6 = 6

Add 6 to each side

-x+ 2y -6+6 = 6+6

-x +2y = 12

Multiply each side by -1 to make A a positive integer

x-2y = -12