SOLUTION: Can you help me solve this: Apply the distributive property. Then simplify by combining like terms: (2w+4)(-3)+w and {{{ 15d^2+(2-d)4d }}}?

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Question 631435: Can you help me solve this: Apply the distributive property. Then simplify by combining like terms: (2w+4)(-3)+w and ?
Answer by 55305(86)   (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: simplifies to
  • Text form: (2w+4)*(-3)+w simplifies to -5*w-12
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (2w+4)*(-3)+w )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Expanded term -3 by using associative property on %282%2Aw%2B4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved -12 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-6%2Aw+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%28-6%2B1%29%2Aw+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -5
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 15d^2+(2-d)*4d simplifies to 11*d^2+8*d
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 15d^2+(2-d)*4d )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 2 to the right of expression
It becomes .
Look at .
Expanded term 4%2Ad by using associative property on %28-d%2B2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+d+%29 to highlight_green%28+d%5E2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+15%2Ad%5E2+%29,highlight_red%28+-4%2Ad%5E2+%29 replacing them with highlight_green%28+%2815-4%29%2Ad%5E2+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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