Algebra Examples
x2+x+1x2+x+1 , x2+8x+1x2+8x+1
Step 1
Subtract the second expression x2+8x+1x2+8x+1 from the first expression x2+x+1x2+x+1.
x2+x+1-(x2+8x+1)x2+x+1−(x2+8x+1)
Step 2
Step 2.1
Apply the distributive property.
x2+x+1-x2-(8x)-1⋅1x2+x+1−x2−(8x)−1⋅1
Step 2.2
Simplify.
Step 2.2.1
Multiply 88 by -1−1.
x2+x+1-x2-8x-1⋅1x2+x+1−x2−8x−1⋅1
Step 2.2.2
Multiply -1−1 by 11.
x2+x+1-x2-8x-1x2+x+1−x2−8x−1
x2+x+1-x2-8x-1x2+x+1−x2−8x−1
x2+x+1-x2-8x-1x2+x+1−x2−8x−1
Step 3
Step 3.1
Combine the opposite terms in x2+x+1-x2-8x-1x2+x+1−x2−8x−1.
Step 3.1.1
Subtract x2x2 from x2x2.
x+1+0-8x-1x+1+0−8x−1
Step 3.1.2
Add x+1x+1 and 00.
x+1-8x-1x+1−8x−1
Step 3.1.3
Subtract 11 from 11.
x-8x+0x−8x+0
Step 3.1.4
Add x-8xx−8x and 00.
x-8xx−8x
x-8xx−8x
Step 3.2
Subtract 8x8x from xx.
-7x−7x
-7x−7x
