Final answer to the problem
Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($6$) to all terms
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$\left(5-3x^2\right)^7\sqrt{6\left(x^2+\frac{4}{3}x-2\right)}$
Learn how to solve factor problems step by step online. Factor the expression (5-3x^2)^7(6x^2+8x+-12)^1/2. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (6) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{4}{3}xx+\frac{4}{9}. Subtract the values -2 and -\frac{4}{9}.