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Apply the formula: $n+x^4$$=-\left(\sqrt{-n}+x^2\right)\left(\sqrt[4]{-n}+x\right)\left(\sqrt[4]{-n}-x\right)$, where $n+x^4=x^4-2$ and $n=-2$
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$h\left(x\right)=\frac{7x^3+9}{-\left(\sqrt{2}+x^2\right)\left(\sqrt[4]{2}+x\right)\left(\sqrt[4]{2}-x\right)}$
Learn how to solve expressions algébriques problems step by step online. h(x)=(7x^3+9)/(x^4-2). Apply the formula: n+x^4=-\left(\sqrt{-n}+x^2\right)\left(\sqrt[4]{-n}+x\right)\left(\sqrt[4]{-n}-x\right), where n+x^4=x^4-2 and n=-2. Apply the formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, where a=\sqrt[4]{2}, b=x, c=-x, a+c=\sqrt[4]{2}-x and a+b=\sqrt[4]{2}+x. Simplify \left(\sqrt[4]{2}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals 2. Apply the formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, where a=\sqrt{2}, b=x^2, c=-x^2, a+c=\sqrt{2}-x^2 and a+b=\sqrt{2}+x^2.
