What is (3y^2-2y+5)/4-7/6 ?

The solution to (3y^2-2y+5)/4-7/6 is (9y^2-6y+1)/(12)

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simplify (3y^2-2y+5)/4-7/6

simplify

\frac{3 y ^{2} - 2 y + 5}{4} - \frac{7}{6}

\frac{9 y ^{2} - 6 y + 1}{12}

Solution steps

\frac{3 y ^{2} - 2 y + 5}{4} - \frac{7}{6}

Least Common Multiplier of

4, 6 : 12

Adjust Fractions based on the LCM

= \frac{( 3 y ^{2} - 2 y + 5 ) \cdot 3}{12} - \frac{14}{12}

Apply the fraction rule:

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

= \frac{( 3 y ^{2} - 2 y + 5 ) \cdot 3 - 14}{12}

Simplify

(3 y^{2} - 2 y + 5) \cdot 3 - 14 : 9 y^{2} - 6 y + 1

= \frac{9 y ^{2} - 6 y + 1}{12}

sin^{2} (x) - sin^{2} (x) cos^{2} (x)

a^{2} + ab - 2 b^{2}

- 4 x^{2} - 16 x + 20

x lo g_{x} (x)

What is (3y^2-2y+5)/4-7/6 ?
The solution to (3y^2-2y+5)/4-7/6 is (9y^2-6y+1)/(12)