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inna [77]
3 years ago
7

Factorise fully p^3 + p^2

Mathematics
1 answer:
nikklg [1K]3 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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Write the word sentence as an equation. Then solve the equation.
elena-14-01-66 [18.8K]

Answer:

c+10=3

c=7

Step-by-step explanation:

10 more than c is the same as 10 plus c

10+c=3

10=3-c

7=c

Brainleist would be appreciated

5 0
2 years ago
10d - 22 + 6d = 12d + 10
ryzh [129]

Answer:

8

Step-by-step explanation:

10d - 22 + 6d = 12d + 10

16d - 22 = 12d +10

4d = 32

d = 8

4 0
3 years ago
Please help I will mark brainlist if correct
Virty [35]
We have 2 equations  here  ( b = cost of bush and  t = cost of a tree)

10b + 4t = 246........................................................(1)
5b + 3t = 147      Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)

Adding equations (1) and (2) we get:-

0 - 2t = - 48

t = -48/-2 = 24

Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15 

The answer is one bush costs $15 and one tree costs $24.



4 0
3 years ago
3x^2 (x^2 - 4x - 2) + (5x^3 + 7x^2+2x+11) plz show work
matrenka [14]

Let's simplify step-by-step.

3x2(x2−4x−4)+5x3+7x2+2x+11

Distribute:

=(3x2)(x2)+(3x2)(−4x)+(3x2)(−4)+5x3+7x2+2x+11

=3x4+−12x3+−12x2+5x3+7x2+2x+11

Combine Like Terms:

=3x4+−12x3+−12x2+5x3+7x2+2x+11

=(3x4)+(−12x3+5x3)+(−12x2+7x2)+(2x)+(11)

=3x4+−7x3+−5x2+2x+11

Answer:

=3x4−7x3−5x2+2x+11

<span> </span>

5 0
4 years ago
McDonalds sells a 20-piece chicken nugget for $5.20. What is the cost per nugget?
jonny [76]

Answer:

O.26

Step-by-step explanation:

Divide The cost from the pieces

4 0
3 years ago
Read 2 more answers
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