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
alex41 [277]
3 years ago
15

Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)​

Mathematics
1 answer:
Inga [223]3 years ago
8 0

Part (i)

<h3>Answer:  x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

<h3>Answer:  4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

  • 4x^2
  • -14x
  • -2x
  • 7

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

You might be interested in
Can anyone help me asap plzz.
alexandr1967 [171]

the answer is c.

you have to multiply by -3 on both sides to get c on its own.

therefore, c is greater than or equal to -9.

in a, c is less than or equal to 9 so thats not the answer.

In b, c is greater than or equal to 9 but it has to be -9.

in d, c is less than or equal to -9.

the answer is c

5 0
3 years ago
Read 2 more answers
Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
3 0
3 years ago
PLEASE PEOPLE , I NEED HELP CAN YOU HELP ME PLEASE :,)
Tasya [4]

Step-by-step explanation:

= (1 + 5z)(-4)

= (1 + 5z) × (-4)

= 1.(-4) + 5z. (-4)

= -4 - 20z

3 0
2 years ago
Circle O is inscribed in square EFGH.
Citrus2011 [14]

Answer:

D) 25.5 cm

Step-by-step explanation:

Circumference = pi × d

20 = 3.14 × d

d = 6.3694267516

Diameter = length of one side

Perimeter of the square = 4s

4(6.3694267516)

25.4777070064 cm

From the options, closest is 25.5

3 0
3 years ago
Need help asap! Please and thank you
FromTheMoon [43]

Answer:

1,2,5 No 3,4 Yes

Step-by-step explanation:

x(x^2-5) No

x(x^2-25x) No

x(x^2-25) Yes

x(x+5)(x-5) Yes

x(x-5)^2 No

3 0
3 years ago
Read 2 more answers
Other questions:
  • Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.
    15·2 answers
  • What is the sine of C if triangle ABC has b = 3, c = 7, and angle B = 15°?
    11·2 answers
  • Find the unit rate. $68 for 8 1/2 hour
    7·1 answer
  • Let f(x)=9x-1 and g(x)=x^3. <br> Evaluate (f*g)(-1)
    14·1 answer
  • Which could be the area of the face of the rectangular prism
    12·2 answers
  • Which event is most likely to be independent of A?
    15·2 answers
  • Write a equation that represents the line
    13·1 answer
  • The itsy-bitsy spider want to climb up the inside of a 1 foot water spout the itsy-bitsy spider can climb 3 3/4 inches each day
    15·1 answer
  • What is the volume of the sphere below PLEASE HELP FAST
    5·1 answer
  • 0.326<br> In stranded form pleasee
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!