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2 years ago

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Mathematics

1 answer:

andrezito [222]2 years ago

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Factorise fully p^3 + p^2

nikklg [1K]

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:

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

3 0

2 years ago

What are the solution(s) of x2-4-0?

Elanso [62]

Answer:

For $x^2 - 4 = 0$ , x = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

$x^2 - 4 = 0$

Now, using the ALGEBRAIC IDENTITY:

$a^2 - b^2 = (a-b)(a+b)$

Comparing this with the above expression, we get

$x^2 - 4 = 0 = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0$

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2) = 0 ⇒ x = 2

and if ( x + 2) = 0 ⇒ x = -2

Hence, for $x^2 - 4 = 0$ , x = 2, or x = - 2.

4 0

3 years ago

Read 2 more answers

There are 50 animals in a shelter. Sixty percent of the animals are dogs. Which equation can be used to find the number of dogs

svetoff [14.1K]

50*.6=30

so if you solve this equation it would be 30 dogs in the shelter

8 0

2 years ago

Read 2 more answers

Which equation represents the line that passes through the points (6,-3) and (-4,-9)?

Citrus2011 [14]

I will give in y=mx+b and ax+by=c form

using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)

slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)

given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)

y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33

equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)

7 0

3 years ago

Ahmet'in boyu 183 cm'dir.

babunello [35]

Answer:

Ahmet'in boyu 183cm emel de 27cm ahmetden uzun ise 183 ile 27 toplaman lazım

183+27=210

5 0

2 years ago