Final answer to the problem
$93.9148551\sqrt{x^{5}}\left(7x^2-1\right)^2+\frac{23x\left(7x^2-1\right)^3}{2\sqrt{5x^3+4x^2}}$
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Step-by-step Solution
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Combining like terms $15x$ and $8x$
$42x\left(7x^2-1\right)^2\sqrt{5x^3}+\left(7x^2-1\right)^3\frac{23x}{2}\left(5x^3+4x^2\right)^{-\frac{1}{2}}$
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$42x\left(7x^2-1\right)^2\sqrt{5x^3}+\left(7x^2-1\right)^3\frac{23x}{2}\left(5x^3+4x^2\right)^{-\frac{1}{2}}$
Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression 42x(7x^2-1)^2(5x^3)^1/2+(7x^2-1)^3(15x+8x)/2(5x^3+4x^2)^(-1/2). Combining like terms 15x and 8x. Multiplying the fraction by \left(7x^2-1\right)^3\left(5x^3+4x^2\right)^{-\frac{1}{2}}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power.
Final answer to the problem
$93.9148551\sqrt{x^{5}}\left(7x^2-1\right)^2+\frac{23x\left(7x^2-1\right)^3}{2\sqrt{5x^3+4x^2}}$