Answer:
(a - b)(a² + ab + b²)
Step-by-step explanation:
The difference of cubes is expressed as:
a³-b³
Using trial and error:
a³-b³
Check (a - b)(a² + ab + b²)
Expand
(a - b)(a² + ab + b²)
= a(a²)+a(ab)+a(b²)-a²b-ab²-b³
= a³+a²b+a(b²)-a²b-ab²-b³
Collect the like terms
= a³+a²b-a²b+ab²-ab²-b³
= a³-b³
Hence the required option is
Answer:
3. 102
4. c
Step-by-step explanation:
For number 3:
(c^2 - a) + b becomes (10^2 - 3) + 5
10^2 = 100
100 - 3 + 5 = 102
For number 4:
Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.
20c - 8d
It's not a, because that would be 20c + 8d
It's not b, because that would be 20c -32d
It is c, because 4 x 5c = 20 c and 4 x -2d = -8d
It's not d, because that would be 20c- 8cd
Answer:
(x - 2) or (x + 5)
Step-by-step explanation:
Step 1: Write quadratic
x² + 3x - 10
Step 2: Factor
(x - 2)(x + 5)
The answer is 3 because 1/3 is 3
