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2\left(9ax^{2}+16a-24ax\right)
Factor out 2.
a\left(9x^{2}+16-24x\right)
Consider 9ax^{2}+16a-24ax. Factor out a.
\left(3x-4\right)^{2}
Consider 9x^{2}+16-24x. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=3x and q=4.
2a\left(3x-4\right)^{2}
Rewrite the complete factored expression.