What is (1/4*a^2-5/2*a)+1/2*a ?

The solution to (1/4*a^2-5/2*a)+1/2*a is 1/4 a^2-2a

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simplify (1/4a^2-5/2a)+1/2*a

simplify

(\frac{1}{4} \cdot a^{2} - \frac{5}{2} \cdot a) + \frac{1}{2} \cdot a

\frac{1}{4} a^{2} - 2 a

Solution steps

(\frac{1}{4} a^{2} - \frac{5}{2} a) + \frac{1}{2} a

Apply rule:

(a) = a

(\frac{1}{4} a^{2} - \frac{5}{2} a) = \frac{1}{4} a^{2} - \frac{5}{2} a

= \frac{1}{4} a^{2} - \frac{5}{2} a + \frac{1}{2} a

Factor out common term

a

= \frac{1}{4} a^{2} + a (- \frac{5}{2} + \frac{1}{2})

Simplify

a (- \frac{5}{2} + \frac{1}{2}) : - a \cdot 2

= \frac{1}{4} a^{2} - a \cdot 2

= \frac{1}{4} a^{2} - 2 a

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What is (1/4*a^2-5/2*a)+1/2*a ?
The solution to (1/4*a^2-5/2*a)+1/2*a is 1/4 a^2-2a