What is x^2+(3x)^2-x^2(1/2) ?

The solution to x^2+(3x)^2-x^2(1/2) is 19/2 x^2

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simplify x^2+(3x)^2-x^2(1/2)

simplify

x^{2} + (3 x)^{2} - x^{2} (\frac{1}{2})

\frac{19}{2} x^{2}

Solution steps

x^{2} + (3 x)^{2} - x^{2} (\frac{1}{2})

Simplify

(3 x)^{2} : 9 x^{2}

= x^{2} + 9 x^{2} - x^{2} \frac{1}{2}

Add similar elements:

x^{2} + 9 x^{2} = 10 x^{2}

= 10 x^{2} - x^{2} \frac{1}{2}

Factor out common term

x^{2}

= x^{2} (10 - \frac{1}{2})

10 - \frac{1}{2} = \frac{19}{2}

= x^{2} \frac{19}{2}

= \frac{19}{2} x^{2}

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