What is simplify-5/4 a^2-3/2 ab+1/2 a^2+5ab-3a^2-1/2 ab ?

The solution to simplify-5/4 a^2-3/2 ab+1/2 a^2+5ab-3a^2-1/2 ab is -15/4 a^2+3ab

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simplify-5/4 a^2-3/2 ab+1/2 a^2+5ab-3a^2-1/2 ab

simplify

- \frac{5}{4} a^{2} - \frac{3}{2} ab + \frac{1}{2} a^{2} + 5 ab - 3 a^{2} - \frac{1}{2} ab

- \frac{15}{4} a^{2} + 3 ab

Solution steps

- \frac{5}{4} a^{2} - \frac{3}{2} ab + \frac{1}{2} a^{2} + 5 ab - 3 a^{2} - \frac{1}{2} ab

Group like terms

= - 3 a^{2} - \frac{5}{4} a^{2} + \frac{1}{2} a^{2} - \frac{3}{2} ab + 5 ab - \frac{1}{2} ab

Factor out common term

a^{2}

= a^{2} (- 3 - \frac{5}{4} + \frac{1}{2}) - \frac{3}{2} ab + 5 ab - \frac{1}{2} ab

Factor out common term

ab : ab (- \frac{3}{2} + 5 - \frac{1}{2})

= a^{2} (- 3 - \frac{5}{4} + \frac{1}{2}) + ab (- \frac{3}{2} + 5 - \frac{1}{2})

a^{2} (- 3 - \frac{5}{4} + \frac{1}{2}) = - a^{2} \frac{15}{4}

- \frac{3}{2} + 5 - \frac{1}{2} = 3

= - a^{2} \frac{15}{4} + ab \cdot 3

= - \frac{15}{4} a^{2} + 3 ab

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

(3 x + 1) (x - 1)

2187

\frac{7 !}{5 ! \cdot 2 !}

What is simplify-5/4 a^2-3/2 ab+1/2 a^2+5ab-3a^2-1/2 ab ?
The solution to simplify-5/4 a^2-3/2 ab+1/2 a^2+5ab-3a^2-1/2 ab is -15/4 a^2+3ab