Math  /  Algebra

QuestionSimplify the expression 4x23x3+7x312x-4x^2\sqrt{3x^3} + 7x^3\sqrt{12x} into simplest radical form.

Studdy Solution
Since both terms are like terms (they both have x33xx^3\sqrt{3x}), we can combine them.
4x33x+14x33x=(4+14)x33x=10x33x-4x^3\sqrt{3x} +14x^3\sqrt{3x} = (-4 +14)x^3\sqrt{3x} =10x^3\sqrt{3x}The simplified expression in simplest radical form is 10x33x10x^3\sqrt{3x}.

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