Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
Answer:
Explanation:
All the other expressions can be factorized. Let's see why:
1)
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2)
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3)
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as
They call it the Whirl Series ^.^
Answer:
y = 4x-4
Step-by-step explanation: