SOLUTION: (5y³w²+2)(2y³+w²+3²)

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Question 173301:
(5y³w²+2)(2y³+w²+3²)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %285y%5E3w%5E2%2B2%29%2A%282y%5E3%2Bw%5E2%2B3%5E2%29 simplifies to
  • Text form: (5y^3w^2+2)*(2y^3+w^2+3^2) simplifies to 10*y^(6)*w^2+5*y^3*w^(4)+45*y^3*w^2+4*y^3+2*w^2+18
  • Cartoon (animation) form: simplify_cartoon%28+%285y%5E3w%5E2%2B2%29%2A%282y%5E3%2Bw%5E2%2B3%5E2%29+%29
    For tutors: simplify_cartoon( (5y^3w^2+2)*(2y^3+w^2+3^2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Replace constants in factor: highlight_red%28+3+%29,highlight_red%28+2+%29 with highlight_green%28+9+%29
It becomes %285%2Ay%5E3%2Aw%5E2%2B2%29%2A%282%2Ay%5E3%2Bw%5E2%2Bhighlight_green%28+9+%29%29.
Look at highlight_red%28+%285%2Ay%5E3%2Aw%5E2%2B2%29%2A%282%2Ay%5E3%2Bw%5E2%2B9%29+%29.
Expanded term %282%2Ay%5E3%2Bw%5E2%2B9%29 by using associative property on %285%2Ay%5E3%2Aw%5E2%2B2%29
It becomes .
Look at .
Expanded term 5%2Ay%5E3%2Aw%5E2 by using associative property on %282%2Ay%5E3%2Bw%5E2%2B9%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y%5E3+%29 to highlight_green%28+y%5E%283%2B3%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+w%5E2+%29 to highlight_green%28+w%5E%282%2B2%29+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Expanded term 2 by using associative property on %282%2Ay%5E3%2Bw%5E2%2B9%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Result:

Universal Simplifier and Solver


Done!