SOLUTION: can you show the steps for (a-b)(2a^3-ab+3b^2)

Algebra.Com
Question 616535: can you show the steps for (a-b)(2a^3-ab+3b^2)
Found 2 solutions by lynnlo, Edwin McCravy:
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
2a^4-2a^3b-a^2b+4ab^2-3b^3
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I thought maybe you'd like some explanation instead of just the answer,
which is probably in the back of your book.

(a - b)(2a³ - ab + 3b²)

Distribute each term in the first parentheses into the whole parenthesis
on the right:

a(2a³ - ab + 3b²) - b(2a³ - ab + 3b²)

Do the two resulting distributions:

2a4 - a²b + 3ab² - 2a³b + ab² - 3b³

Collect like terms in ab²

2a4 - a²b + 4ab² - 2a³b - 3b³

Edwin

RELATED QUESTIONS

Please list the steps to Simplify the below problem? I come up with 2a after... (answered by math_tutor2020,greenestamps,MathTherapy)
If a=2, b=3, c= -4 Solve: ab^2 -... (answered by josgarithmetic)
If a=2, b=3, c= -4 Solve: ab^2 -... (answered by josgarithmetic)
Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] +... (answered by Earlsdon,jim_thompson5910)
1/2a-1/3b; -a+2/3b;... (answered by ikleyn)
Perform the indicated operations and simplify: (7a^2-3b^2+10)-(-2a^2+b^2-12) please... (answered by MathLover1)
what are the steps for 2a+3b a=4... (answered by lenny460)
Can you please help me solve using the elimination method? a + 3b = 26 2a - 3b =... (answered by 303795)
can you give me the answer on this. evaluate each expressin if a = 4,b = and c = 7 1. (answered by bonster)