What is 2x^2-(x^2)/2 ?

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

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simplify 2x^2-(x^2)/2

simplify

2 x^{2} - \frac{x ^{2}}{2}

\frac{3 x ^{2}}{2}

Solution steps

2 x^{2} - \frac{x ^{2}}{2}

Apply the fraction rule:

a - \frac{b}{c} = \frac{a c - b}{c}

= \frac{2 x ^{2} \cdot 2 - x ^{2}}{2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4 x ^{2} - x ^{2}}{2}

Add similar elements:

4 x^{2} - x^{2} = 3 x^{2}

= \frac{3 x ^{2}}{2}

2 - \frac{7}{12}

(x - 1)^{2} + (2 x + 5)

\frac{x ^{2} - 9}{2 x + 6}

2 x^{2} - 14 x - 36

9 + 6 x - 4 x + 3