SOLUTION: please multiply and simplify this (x+5)(2x^2-3x+4) thanks

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Question 192626: please multiply and simplify this

(x+5)(2x^2-3x+4)

thanks
Found 3 solutions by nini2420, yuendatlo, RAY100:
Answer by nini2420(1) About Me  (Show Source):
You can put this solution on YOUR website!
You can use the universal solver on the site for this problem.
Denise

Answer by yuendatlo(23) About Me  (Show Source):
You can put this solution on YOUR website!
formula: (a+b)(c+d+e)=ac+ad+ae+bc+bd+be
replace a to e by the unknowns in the equation and get 2x^3 -3x^2 +4x+ 10x^2- 15x+20
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 2x%5E3-3x%5E2%2B4x%2B10x%5E2-15x%2B20 simplifies to 2%2Ax%5E3%2B7%2Ax%5E2-11%2Ax%2B20
  • Text form: 2x^3-3x^2+4x+10x^2-15x+20 simplifies to 2*x^3+7*x^2-11*x+20
  • Cartoon (animation) form: simplify_cartoon%28+2x%5E3-3x%5E2%2B4x%2B10x%5E2-15x%2B20+%29
    For tutors: simplify_cartoon( 2x^3-3x^2+4x+10x^2-15x+20 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+-3%2Ax%5E2+%29,highlight_red%28+10%2Ax%5E2+%29 replacing them with highlight_green%28+%28-3%2B10%29%2Ax%5E2+%29
It becomes 2%2Ax%5E3%2Bhighlight_green%28+%28-3%2B10%29%2Ax%5E2+%29%2B4%2Ax-15%2Ax%2B20.
Look at .
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-15%2Ax+%29 replacing them with highlight_green%28+%284-15%29%2Ax+%29
It becomes 2%2Ax%5E3%2B%28-3%2B10%29%2Ax%5E2%2Bhighlight_green%28+%284-15%29%2Ax+%29%2B20.
Look at .
Added fractions or integers together
It becomes 2%2Ax%5E3%2B%28highlight_green%28+7+%29%29%2Ax%5E2%2B%284-15%29%2Ax%2B20.
Look at 2%2Ax%5E3%2B%287%29%2Ax%5E2%2B%28highlight_red%28+4+%29-highlight_red%28+15+%29%29%2Ax%2B20.
Added fractions or integers together
It becomes 2%2Ax%5E3%2B%287%29%2Ax%5E2%2B%28highlight_green%28+-11+%29%29%2Ax%2B20.
Look at 2%2Ax%5E3%2B%287%29%2Ax%5E2%2B%28highlight_red%28+-11+%29%29%2Ax%2B20.
Removed extra sign in front of -11
It becomes 2%2Ax%5E3%2B%287%29%2Ax%5E2%2B%28-highlight_green%28+11+%29%29%2Ax%2B20.
Look at 2%2Ax%5E3%2Bhighlight_red%28+%28highlight_red%28+7+%29%29%2Ax%5E2+%29%2B%28-11%29%2Ax%2B20.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes 2%2Ax%5E3%2Bhighlight_green%28+7+%29%2Ax%5E2%2B%28-11%29%2Ax%2B20.
Look at 2%2Ax%5E3%2B7%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+11+%29%29%2Ax+%29%2B20.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes 2%2Ax%5E3%2B7%2Ax%5E2-highlight_green%28+11+%29%2Ax%2B20.
Result: 2%2Ax%5E3%2B7%2Ax%5E2-11%2Ax%2B20

Universal Simplifier and Solver


Done!

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
(x+5) (2x^2-3x+4)
distribute (x)----2x^3 -3x^2+4x
Distribute (5)----0x^3 +10x^2 -15x+20
adding
2x^3+7x^2-11x+20