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How do you simplify v(180m^4) - m^2 v125 + 2mv147m - v(75m^3) ?

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1 Answer

Hi Lars;
a)
√(180m4) - m2√125 + 2m√147m - √(75m3)
Let's look at the numbers...
180=(36)(5)
125=(25)(5)
147=(49)(3)
75=(25)(3)
Let's rewrite the equation...
√[(36)(5)m4] - m2√(25)(5) + 2m√(49)(3)m - √[(25)(3)m3]
6m2√5 - 5m2√5 + 14m√3m - 5m√3m
m2√5 + 9√3m
 
 

Comments

I FORGOT ABOUT THE SECOND EQUATION!  SORRY!
b) √(96y3) + 2y √(384y) - √(150y3)
96=(16)(6)
384=(64)(6)
150=(25)(6)
√(16)(6)y3  + 2y√[(64)(6)y] - √[(25)(6)y3]
4y√6y + 16y√6y - 5y√6y
15y√6y