Simplify `6b*sqrt (a^4) + 3*sqrt(a^2c) - 5ab*sqrt c + (-6ab^2) - (3ab) + 6a*sqrt(b^2c)`

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The expression `6b*sqrt(a^4) + 3*sqrt(a^2c) - 5*a*b*sqrt c + (-6ab^2) - (3ab) + 6a*sqrt(b^2*c)` has to be simplified.

`6b*sqrt(a^4) + 3*sqrt(a^2c) - 5*a*b*sqrt c + (-6ab^2) - (3ab) + 6a*sqrt(b^2*c)`

=> `6b*a^2 + 3*a*sqrt c - 5*a*b*sqrt c -6*a*b^2 - 3*a*b + 6*a*b*sqrt c`

=> `a(6*a*b + 3*sqrt c - 5*b*sqrt c - 6*b^2 - 3*b + 6*b*sqrt c)`

=> `a(6*a*b + 3*sqrt c + b*sqrt c - 6*b^2 - 3*b)`

The given expression `6b*sqrt(a^4) + 3*sqrt(a^2c) - 5*a*b*sqrt c + (-6ab^2) - (3ab) + 6a*sqrt(b^2*c)` = `a(6*a*b + 3*sqrt c + b*sqrt c - 6*b^2 - 3*b)`

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