How do you simplify $\frac{- 2 - 2 (4) (- 3) + {(3)}^{2}}{4 - (- 6) (- 3)}$ $(-2-2(4)(-3)+(3)^2)/(4-(-6)(-3))$ using PEMDAS?

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Answer 1 · 2016-08-02T21:45:40

$\frac{31}{- 14}$ $31/(-14)$

Although this is all one term, there are different terms in the numerator and denominator.

We can do several calculations at a time, as long as we leave the plus and minus operations until last.

$\frac{- 2 - 2 (4) (- 3) + {(3)}^{2}}{4 - (- 6) (- 3)}$ $(-2-color(red)(2(4)(-3))+color(blue)((3)^2))/(4color(orange)(-(-6)(-3)))$

$\frac{- 2 - (- 24) + 9}{4 - (+ 18)}$ $(-2-(color(red)(-24))+color(blue)(9))/(4color(orange)(-(+18))$

$\frac{- 2 + 24 + 9}{4 - 18}$ $(-2 +color(red)24+color(blue)(9))/(4 color(orange)(-18)$

$\frac{31}{- 14}$ $31/(-14)$

How do you simplify (-2-2(4)(-3)+(3)^2)/(4-(-6)(-3))−2−2(4)(−3)+(3)24−(−6)(−3)(-2-2(4)(-3)+(3)^2)/(4-(-6)(-3)) using PEMDAS?