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inna [77]
2 years ago
7

Factorise fully p^3 + p^2

Mathematics
1 answer:
nikklg [1K]2 years ago
3 0

Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

Step-by-step explanation:

p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)

Used:

a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

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A physically active adult weighing 185 pounds needs to consume about 2830 calories per day in order to maintain his or her weigh
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Answer:

A maximum of 990 calories per day should come from simple sugar.

Step-by-step explanation:

Given:

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A nutritionist recommends that no more than 35​% of those calories should come from simple sugars.

Let the number of calories come from sugar be x;

Hence,

x\leq 35\% \ of \ given \ calories

x \leq \frac{35}{100}\times 2830\\\\x\leq 0.35\times 2830\\\\x\leq 990.5

From above we can say that x should be less than or equal to 990.5 hence we can say x is 990 calories

Hence A maximum of 990 calories per day should come from simple sugar.

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