1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tamaranim1 [39]
3 years ago
11

Simplify (x2 + 7x + 12)(x2 + 3x + 5).

Mathematics
1 answer:
inessss [21]3 years ago
8 0
Hi there

(x² + 7x + 12)(x² + 3x + 5)
Distribute
(x²)(x²) + (x²)(3x) + (x²)(5) + (7x)(x²) + (7x)(3x) + (7x)(5) + (12)(x²) + (12)(3x) + (12)(5)
= x^4 + 3x^3 + 5x^2 + 7x^3 + 21x^2 + 35x + 12x^2 + 36x + 60
= x^4 + 10x^3 + 38x^2 + 71x + 60

Good luck !

You might be interested in
A Flagpole casts a shadow 32 feet long. If a man is 6 feet tall casts a shadow 8 feet long at the same time and location. How ta
Kaylis [27]
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
4 0
3 years ago
5x-2y=11 and 3x+4y=4<br>Find the value of x and y in equation.​
nadya68 [22]
  • 5x-3y=11---(1)
  • 3x+4y=4---(2)

(1)×3 and (2)×5

  • 15x-9y=33-(3)
  • 15x+20y=20-(4)

Subtract both

\\ \sf\longmapsto -29y=13

\\ \sf\longmapsto y=\dfrac{-13}{29}

  • Put in eq(1)

\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11

\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}

\\ \sf\longmapsto x=\dfrac{278}{145}

7 0
2 years ago
Read 2 more answers
What is the equation in slope-intercept form for the line that passes through the points
LekaFEV [45]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
Solve the following equation and show all the steps to solving.
Bumek [7]
\bf \cfrac{x}{x-2}+\cfrac{x-1}{x+1}=-1\impliedby LCD\to (x-2)(x+1)\\\\&#10;-------------------------------\\\\&#10;\cfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=-1&#10;\\\\\\&#10;x^2+x+x^2-3x+2=-1(x-2)(x+1)&#10;\\\\\\&#10;2x^2-2x+2=-1(x^2-x-2)\implies 2x^2-2x+2=-x^2+x+2&#10;\\\\\\&#10;3x^2-3x=0\implies 3x(x-1)=0\implies &#10;\begin{cases}&#10;3x=0\implies &x=0\\&#10;x-1=0\implies &x=1&#10;\end{cases}
8 0
3 years ago
How to solve derivative of (sin3x)/x using first principle ​
Leona [35]

\dfrac{d}{dx}(\dfrac{\sin(3x)}{x})

First we must apply the Quotient rule that states,

(\dfrac{f}{g})'=\dfrac{f'g-g'f}{g^2}

This means that our derivative becomes,

\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}

Now we need to calculate \dfrac{d}{dx}(\sin(3x)) and \dfrac{d}{dx}(x)

\dfrac{d}{dx}(\sin(3x))=\cos(3x)\cdot3

\dfrac{d}{dx}(x)=1

From here the new equation looks like,

\dfrac{3x\cos(3x)-\sin(3x)}{x^2}

And that is the final result.

Hope this helps.

r3t40

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
    12·1 answer
  • The cafeteria has 6 round tables and 23 rectangular tables. If each round table has 7 chairs and each rectangular table has 18 c
    14·1 answer
  • 13/10+2/100=?/100 do you guys know what it os
    15·2 answers
  • Triangle KLM is translated to units right and one unit up to create triangle KLM which rule describes the transformation
    8·1 answer
  • Help! Find the answers pleaseeeeee
    14·2 answers
  • What is the simplest form of of this expression?
    11·1 answer
  • And he needs at least 1000 GB of storage to take pictures and videos on her upcoming vacation she checks and find she has 105 cu
    10·2 answers
  • WILL MARK BRAINLIEST TO THE FIRST PERSON
    11·2 answers
  • A parallelogram is a _____. (Choose all that apply)
    9·2 answers
  • A data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the z-score for a value of 25, to the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!