By-cy 26m-39n 6s-8st 12ab square - 15asquareb 58.36+53.64. Do this too

Mathematics

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Step-by-step solution

12 steps
  1. by−cyby - cy
  1. Identify the common factor.

    The common factor is $y$.
    
  2. Factor out the common factor.

    $$
    y(b - c)
    $$
    The factored expression is $\boxed{y(b - c)}$.
    

    2. 26m−39n26m - 39n

  3. Find the greatest common divisor (GCD) of 26 and 39.

    The factors of 26 are 1, 2, 13, 26.  
    The factors of 39 are 1, 3, 13, 39.  
    The GCD is 13.
    
  4. Factor out the GCD.

    $$
    13(2m - 3n)
    $$
    The factored expression is $\boxed{13(2m - 3n)}$.
    

    3. 6s−8st6s - 8st

  5. Identify the common factors.

    The common numerical factor (GCD of 6 and 8) is 2.  
    The common variable factor is $s$.  
    So, the common factor is $2s$.
    
  6. Factor out the common factor.

    $$
    2s(3 - 4t)
    $$
    The factored expression is $\boxed{2s(3 - 4t)}$.
    

    4. 12ab2−15a2b12ab^2 - 15a^2b

  7. Identify the common factors.

    The common numerical factor (GCD of 12 and 15) is 3.  
    The common variable factors are $a$ and $b$.  
    So, the common factor is $3ab$.
    
  8. Factor out the common factor.

    $$
    3ab(4b - 5a)
    $$
    The factored expression is $\boxed{3ab(4b - 5a)}$.
    

    5. 5×8.36+5×3.645 \times 8.36 + 5 \times 3.64

  9. Identify the common factor.

    The common factor is 5.
    
  10. Factor out the common factor using the distributive property a(b+c)=ab+aca(b+c) = ab+ac.

    $$
    5(8.36 + 3.64)
    $$
    
  11. Perform the addition inside the parentheses.

    $$
    5(12.00)
    $$
    
  12. Perform the multiplication.

    $$
    5 \times 12 = 60
    $$
    The simplified value is $\boxed{60}$.
    
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