express the perimeter of the rectangle in factored form

Question

suppose the length of a rectangle is 3(a-4)^2 and the width is a-4. Express the perimeter of the rectangle in factored form

Answer 1

Perimeter = 2(L+W) = 2[3(a-4)^2 + a -4] = 6(a^2 - 8a+16) + 2a -8 = 6a^2 -48a + 96+2a -8 =

6a^2 -46a +88

in factored form: 2(a-4)(3a-11) = Perimeter

Answer 2

P = 2(3(a - 4)² + (a - 4))

P = 4(a - 4)² + (a - 4)

P = (a - 4)(4(a - 4) + 1)