Adding and Subtracting Polynomials

just multiply all terms individually. I'll do the first two:

(g-12)^2
(g-12)*(g-12)
That's g*g+ g*(-12)+ (-12)*g+ (-12)*(-12)
g^2+-12g+-12g+144
g^2-24g+144

(4x+2)^2
(4x+2)(4x+2)
4x*4x+4x*2+2*4x+2*2
16x^2(remember to multiply the constant AND the variable)+8x+8x+4
16x^2+16x+4

(g-12)^2 = g^2 - 24g + 144

(4x+2)^2 = 16x^2 + 16x + 4

(4x-2)^ = 16x^2 - 16x + 4

(3-5x)^2 = 25x^2 - 30x + 9

(t+8)(t-8) = t^2 - 64

(c-d)(c+d) = c^2 - d^2

(5x+2)(5x-2) = 25x^2 - 4

(4x+3y)(4x-3y) = 16x^2 - 9y^2

g^2-24g+144
16x^2+16x+4
16x^2-16x+4
9-30x-25x^2
t^2-64
c^2-d^2
25x^2-4
16x^2-9y^2