Answer:
Step-by-step explanation:
x^2 + 3x + 2 = (x+1)(x+2)
x^2 + 4x + 3 = (x+1)(x+3)
LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6
Teddy =X
Dolls= 2x-14
2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22
Teddy are 22
Dolls 2(22)-14=30
Each side after the cut-out is (s-2c) where s is the original side length and c is the size of the cut so:
V=hlw, h=x and l and w are both (x-8)
V=x(x-8)(x-8)
V=x(x^2-16x+64)
V=x^3-16x^2+64x