What is 8(y+6)-6(y^2-6y+4) ?

The solution to 8(y+6)-6(y^2-6y+4) is -6y^2+44y+24

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simplify 8(y+6)-6(y^2-6y+4)

simplify

8 (y + 6) - 6 (y^{2} - 6 y + 4)

- 6 y^{2} + 44 y + 24

Solution steps

8 (y + 6) - 6 (y^{2} - 6 y + 4)

Expand

8 (y + 6) : 8 y + 48

= 8 y + 48 - 6 (y^{2} - 6 y + 4)

Expand

- 6 (y^{2} - 6 y + 4) : - 6 y^{2} + 36 y - 24

= 8 y + 48 - 6 y^{2} + 36 y - 24

Group like terms

= - 6 y^{2} + 8 y + 36 y + 48 - 24

Add similar elements:

8 y + 36 y = 44 y

= - 6 y^{2} + 44 y + 48 - 24

Subtract the numbers:

48 - 24 = 24

= - 6 y^{2} + 44 y + 24

2 \cdot 4^{x}

\frac{x}{y} + \frac{r}{s}

\frac{1}{x - 2} + 1

18 + (- 30)

\frac{2 u - 5}{5 - 2 u}