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# 29^2 + 29

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carcass wrote:
$$\frac{29^2 + 29}{29}$$

A) 870

B) 841

C) 58

D) 31

E) 30

$$\frac{29^2 + 29}{29}$$

$$= \frac{29 (29 + 1)}{29}$$

$$= 29 + 1$$

$$= 30$$

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carcass wrote:
$$\frac{29^2 + 29}{29}$$

A) 870

B) 841

C) 58

D) 31

E) 30

Another way: split the numerator.

$$\frac{29^2 + 29}{29}$$ =

$$\frac{29^2}{29}$$ + $$\frac{29}{29}$$

$$(29^{2-1} + 1)$$ = $$(29^1 + 1)$$ = $$30$$